Pith. sign in

Paper Citation Record · LEDGER

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.18784.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.18784 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:32:00.667508Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

39 of 39 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved39
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb2c58af-0564-4b47-8c4a-8870657cb192 · outbound

This paper cites Aleksandrov,Uniqueness theorems for surfaces in the large V, Vestnik Leningrad Univ.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Aleksandrov,Uniqueness theorems for surfaces in the large V, Vestnik Leningrad Univ

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:57.177900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:57.177900Z digest=sha256:9ef48f02c0f098e18dbf03f924705129b9e609bd7a2cd157ea9ffaf1e4895625

Observation fd05ef57-abc2-4943-b894-b0fdcf99222b · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:57.344627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:57.344627Z digest=sha256:795603341e4f7fbc7d3e1a21b5d412452186dcfa7de135190e3e9d9b98e4edde

Observation c0adf96e-16c8-4209-8ae8-70bd06bf5177 · outbound

This paper cites Berti and R.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Berti and R

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:57.492722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:57.492722Z digest=sha256:716d423a4f28bfb4fee1f38a594e801181eae220443d94e0d634cb4b2bf381b0

Observation 20692e0b-98bf-4cd4-a50d-a27021b447fc · outbound

This paper cites Berti and R.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Berti and R

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:57.634424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:57.634424Z digest=sha256:89c5207c94f77c34f42ea9c18bdc54d975127df3b4f89b586bb5a10f8160a06a

Observation 48ae695c-5e83-4313-9da9-ed63eaff2946 · outbound

This paper cites Berti and R.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Berti and R

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:57.766229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:57.766229Z digest=sha256:e0a68b2d71a5a4242e036dfa01a3275f4d64346eb839f21589a1c607841c2e2c

Observation e362536f-3cc7-4d6b-839e-212a663284ca · outbound

This paper cites Courant and D.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Courant and D

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:57.867687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:57.867687Z digest=sha256:5d786c88ab4d71eeebb2f46f46fd3da1241abe358d1fcb8f2aa4b4c38fbcf3ac

Observation 20e87969-2ec4-49c7-8cb9-e4ff35da5cb3 · outbound

This paper cites Capuzzo-Dolcetta and P.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Capuzzo-Dolcetta and P

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.014277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.014277Z digest=sha256:bf3f4c7250a64bef25b52aa71d4522626c544f2e5f3e009a3e97df3c429651a1

Observation ee4d4bb9-0293-468f-8b76-a3179a14d6c8 · outbound

This paper cites A discrete-time overdetermined problem for the heat equation.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values A discrete-time overdetermined problem for the heat equation

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.096881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.096881Z digest=sha256:91532e484dfcc959a2649b7ef82b941e5418702f88f730fc7743b1089e372fb8

Observation 1beabdf1-3e39-40cb-9b50-ecd24884d841 · outbound

This paper cites Ciraolo, R.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Ciraolo, R

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.200433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.200433Z digest=sha256:325b0a7e510e8ca13531a2aa36073d192666ec5319d7b41fc41bc17247132471

Observation ff0f6b0e-1c66-4554-b912-734b5ce485da · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.261574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.261574Z digest=sha256:b2579c28370f20ecf2f568f72bf8434d1d290d71e4474a298fccde02c9479008

Observation ab7a2577-d3b4-49f5-9975-5f280c68f99a · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.347793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.347793Z digest=sha256:e8b3ef46e36968f6593453e466446625a9e3d27dc4413192375d430d121a93c5

Observation 6ff9b868-0e1a-4f2f-b90d-0f7b52df26d8 · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.427199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.427199Z digest=sha256:0e44b11ad28da6c9b66c5652f25e1ad230e9ffed076bf90fb27977d8a279adc2

Observation 84fb0777-ec90-4972-8767-c74b4c01f9dc · outbound

This paper cites Feller, An Introduction to Probability Theory and Its Applications, Vol.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Feller, An Introduction to Probability Theory and Its Applications, Vol

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.533961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.533961Z digest=sha256:a60cebe91a93443c14a00a73f06f86bd93215fdb2b2a0cbb4cf8bcf85616e8bd

Observation 95c71502-4945-4bdc-a9d6-b5e364fd3691 · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.637183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.637183Z digest=sha256:dfd3444f59916fefc15d715d19fcda12d0222217c8f5b92f1171d804c4a6efe0

Observation deb140d7-5664-4531-9ff3-e60f3fcb6d48 · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.694364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.694364Z digest=sha256:bfd3f453708a5221ba5d8aa224f0f01a4a8b48b61563b1519921388087d134bc

Observation 3c672726-2827-415d-b324-e7451588cf0e · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.794083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.794083Z digest=sha256:6c9a348de1a3d70905449935e4c445447b5ac1b39bc64c49f086fa6303bd9736

Observation c47c4b2d-8e50-4cad-aef6-47a89215db1e · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.882799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.882799Z digest=sha256:7ee568495c53671c8bbe86dde155c2e0236981f883bbe84ddc01ecbbb8883018

Observation 69445b7c-bf90-4ed8-ade1-01699bb54b68 · outbound

This paper cites Construction of signed distance functions through an elliptic equation.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Construction of signed distance functions through an elliptic equation

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:58.960874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:58.960874Z digest=sha256:043b0b8fbc0c7686f4725afda79df83a2ea485814c615985dc8f04c9d019eab6

Observation 3e8bcfac-d6e5-4662-807d-a12be7541652 · outbound

This paper cites PDE methods for extracting normal vector fields and distance functions of shapes.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values PDE methods for extracting normal vector fields and distance functions of shapes

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.049712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.049712Z digest=sha256:2403327a5bc5b2a21d742811440661493af66f456150fa1f3fd3c0337916b422

Observation 1baeab82-bd22-452a-a0c3-9fefd5e75552 · outbound

This paper cites Henry, Geometric Theory of Semilinear Parabolic Equations.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Henry, Geometric Theory of Semilinear Parabolic Equations

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.121015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.121015Z digest=sha256:f7d882039a1eec5e1c0a17dd82fec99bc5226ecfedb213f0e39ffb372d7fd4f9

Observation ad512dba-9c6a-4fd5-8a1f-e07a95dbe657 · outbound

This paper cites Honda and J.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Honda and J

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.209559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.209559Z digest=sha256:9858b8e2ec747d18e2dd0e1bb9c6f6ec200a3eb7c8d0c87f06b8207ca9d5352f

Observation 5a17e833-b00f-43c2-8270-40a790266d6f · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.315420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.315420Z digest=sha256:c8bc4091e6cc72216a8cb98b8ba4691da50afa837efad01d1f188ca3a71a8b8e

Observation 6e1b014a-a4ac-49a6-ad40-2895a03c785c · outbound

This paper cites Kuznetsov,Mean value properties of solutions to the Helmotz and modified Helmotz equa- tions, J.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Kuznetsov,Mean value properties of solutions to the Helmotz and modified Helmotz equa- tions, J

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.378857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.378857Z digest=sha256:e47d89c1feb48775ff0a7953bdc1028e976e6cff6be32138632925c233dce244

Observation 26f5e3d0-3c17-4ec6-93a7-70aa7f4964b4 · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.443425Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.443425Z digest=sha256:61313d5dfb7fc4224bfda31300ed2011dc67ac06f929d6c39a3d19a0a6f0ae1a

Observation 1e654609-df01-4e28-b32a-de1934e6ce98 · outbound

This paper cites Littman, G.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Littman, G

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.520921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.520921Z digest=sha256:a95b27d94ae84f06a795375ddf66bd203694f004e0662cdefa9bf94b3fb7d075

Observation a5029193-547d-495b-9abe-14a77d26ad5d · outbound

This paper cites Magnanini and M.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini and M

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.628879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.628879Z digest=sha256:f90ce930f087a33e695b225658640412246d4d823753ca7d635c187dbf01165b

Observation d04c51ec-45a0-423d-a190-748d0a2d734c · outbound

This paper cites Magnanini and M.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini and M

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.694407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.694407Z digest=sha256:bff5c4b3446fecd43657d4bc39165f6b99844cb0cf1d7186c71daf1f89a643b1

Observation 46385b0c-46d0-40ce-b8ab-6febcf909bab · outbound

This paper cites Magnanini, D.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini, D

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.795431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.795431Z digest=sha256:4fa2e62f4647587472778fabc57cba0aabd061a17348b5bc8163bc8c6b87ed52

Observation adeedebc-0fa0-4315-be76-eeda2d4fa917 · outbound

This paper cites Magnanini, J.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini, J

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.853693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.853693Z digest=sha256:e57e88591dd93918abb1ab55b2ad711ddfa4a0d90005052428bbe2addeb10871

Observation 5620cb8a-d5ee-4d4b-b75b-6404e83b6b48 · outbound

This paper cites Magnanini and S.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini and S

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-01T14:31:59.925700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:31:59.925700Z digest=sha256:8e776a0ffed6045979c720f07b5b2b4af78ab72faf8f918975691c4bb6adcff4

Observation 8da1f842-ef20-4a53-87e4-dd29bdf70fe2 · outbound

This paper cites Magnanini and S.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini and S

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.000174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.000174Z digest=sha256:6e8b22beaa183f884500b1ac861e6b5d7bdcb050e6e30a4721fc4a02e8848eaf

Observation 875808af-5c8d-4e79-806f-d055818acf5b · outbound

This paper cites Magnanini and S.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini and S

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.101182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.101182Z digest=sha256:ca9db3a060a222734f0f282f9d4eec3fa37133a3839f212fbc67bda132be2d9e

Observation 05b24d44-4e9e-457c-ab69-51f8096a152e · outbound

This paper cites Magnanini and S.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini and S

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.198326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.198326Z digest=sha256:fa232a0ac6b1df27ebf2be2dbe96d5f2adf27e45e2806d43f18164030d7eef55

Observation afae1b9e-4c2e-4ac7-9571-9b28f0261852 · outbound

This paper cites Magnanini and S.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Magnanini and S

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.302412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.302412Z digest=sha256:f580b13588da9407b4e4f70e53e37699495f1d6384c0bdd06b333c96b2acebd4

Observation 654aace5-4ed3-4c04-9926-04a6c09f376e · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.362673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.362673Z digest=sha256:4c9b7e8e285caafd4644c849c227798656fd2f24a1cb35cbc3321f43b18aceef

Observation 4e082a50-5381-4a8a-b301-1ae18ce5ab9f · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.429886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.429886Z digest=sha256:013de9faa1e0d47e5c8d078e717cb8387ddb4ad2160d56e4725e53fab7c0cafa

Observation b8141e1d-5169-4045-a45a-a27052482395 · outbound

This paper cites an unresolved cited work.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Unresolved cited work

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.494026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.494026Z digest=sha256:3674ba4c84d87b6a009fc5ba295e8c5c94b141f981a0e9589fa14fbb0ec50f9f

Observation 1ba4422a-2986-4343-b94c-217ce4d9ccaa · outbound

This paper cites Vessella, Unique Continuation Properties for Partial Differential Equations — introduction to the stability estimates for inverse problems.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values Vessella, Unique Continuation Properties for Partial Differential Equations — introduction to the stability estimates for inverse problems

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.579322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.579322Z digest=sha256:9b6a7b8bd3157a76e9e62e5747c0eca837e00b6f82bf32eb1af3a20ecdf76fff

Observation 3d333a2a-ab77-4092-a066-d648deed4a5d · outbound

This paper cites G. Peano.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values G. Peano

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-01T14:32:00.667508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:32:00.667508Z digest=sha256:e954ca069dec73b7431091961b0e2a990fa82f4264a558c361a8dcfb8db59bc4

Pith citing papers

No inbound Pith citation observations are available.