Pith. sign in

Paper Citation Record · LEDGER

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting

As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.00595.

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

pith.paper-citation-record.v1
1908.00595 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:54:37.639139Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c3e518b-b5f6-4ea6-800a-546dd0ef2665 · outbound

This paper cites Heat k ernels of second order complex elliptic operators and applications.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Heat k ernels of second order complex elliptic operators and applications

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:38.115062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.511325Z digest=sha256:1c978ba7df146d979beeffb8e878c362982ba03a10232716e5d026c00cbd6602

Observation 0f7a038b-bf12-4b8b-9675-681fd3b721d5 · outbound

This paper cites Barbatis and E.B.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Barbatis and E.B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:38.097720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.517236Z digest=sha256:19b1ab7e2c9612d267d4774fcef7974e71c9cf90b08001f5b462d18dd9c3d70f

Observation a84f5cdb-4526-4b72-ae92-973df3674342 · outbound

This paper cites Blunck and P.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Blunck and P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:38.079064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.522604Z digest=sha256:a50bd8cc88ffecbe21e8e0ea6eb2fc96d77013650fbb99909c76c1a3a9adaebf

Observation f21629ba-f962-4a78-9e6a-9f3d3bbfa39d · outbound

This paper cites The asymptotic distribution of eigenfunctions an d eigen- values for semi-elliptic differential operators.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting The asymptotic distribution of eigenfunctions an d eigen- values for semi-elliptic differential operators

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:38.059562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.527883Z digest=sha256:4f07f7c99c24503de5bd1b69191218ead7b9f31943516aba81249fc8d114cf9f

Observation 2b395c5a-47c1-43c2-af9d-fbe93249a9a0 · outbound

This paper cites Ultracontractivity and Nash Type Inequalities.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Ultracontractivity and Nash Type Inequalities

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:38.035219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.533121Z digest=sha256:d977a5865f6c81aa393d291688edfcf461e323f71d0fffb4a60cb1f454cf8690

Observation 7dbb6edb-c1d8-4804-8323-2a1946a011e7 · outbound

This paper cites an unresolved cited work.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:54:38.012454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.538776Z digest=sha256:b9816ab6957c1e58569696da14f73dda9ed07093d2a39ab93ff3595b53655419

Observation eb1d4a46-bd8c-4aa5-bb4b-60cb151e83c7 · outbound

This paper cites an unresolved cited work.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:54:37.994386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.544324Z digest=sha256:4518cf7be92190a929b9c801380e7f0f428391256114d97a1e7b6631907a793e

Observation 51224551-b1b7-49ef-98dd-f03f47345bb0 · outbound

This paper cites an unresolved cited work.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:54:37.976945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.550378Z digest=sha256:c42e85aca78d441cf21fd563ee7b9185880a1acc3b19a96fff2498528a41807e

Observation 0039a94b-8636-467f-854d-a4d3c8e791db · outbound

This paper cites an unresolved cited work.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:54:37.960369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.555539Z digest=sha256:8459bd131f855b02eb90859fb6a70104346de91e07c9d4bad670e0185861937b

Observation 2bc4dd17-2491-47e3-b5f0-19eb90f31c79 · outbound

This paper cites de Giorgi.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting de Giorgi

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.941376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.560551Z digest=sha256:06d3ba1f29e45bec98962689dc59f0024ed33b04659e3b8736c47f8c6e93d47c

Observation 9cafd37c-d81a-451a-99a6-542578057801 · outbound

This paper cites an unresolved cited work.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:54:37.925147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.565886Z digest=sha256:cf3b7a6c5776267611d6cf94f5cc619b21b08a327a9f37fc10da858d13c7ab7a

Observation d97e695c-bc87-4d25-93c7-bc518618e667 · outbound

This paper cites an unresolved cited work.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:54:37.907759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.570902Z digest=sha256:676a43da1b02b84609b9df28a87b59ec53c8990b1ad5796224df3d1df9b46cec

Observation c2338dc7-51f5-4d9d-bdd8-226d836d6bc0 · outbound

This paper cites Eidelman.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Eidelman

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.892593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.575558Z digest=sha256:60d36257f5d047c28b776c514c1b0564b0bd062e82e47e98a31c2f7c5a66c180

Observation c39fb94c-ffea-4245-8ebd-5f765b2c0e49 · outbound

This paper cites Folland and Elias M.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Folland and Elias M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.876464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.580985Z digest=sha256:3aa35d69c3e51b7eb8b442c5429992ba59c7c4eaf744e24c97fba815393d589c

Observation bc0fb205-e4a5-4fc7-8841-0242caa4ce9f · outbound

This paper cites Partial differential equations of parabolic type.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Partial differential equations of parabolic type

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.861122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.585733Z digest=sha256:0b7258a9961eda37fe6a772855b946604e832c59e265e5752f6ed6e8540327c5

Observation d951ecf4-efda-4d34-8658-8c18588be85e · outbound

This paper cites Dirichlet forms, logarithmic Sobolev inequalities a nd con- tractivity properties of semigroups.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Dirichlet forms, logarithmic Sobolev inequalities a nd con- tractivity properties of semigroups

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.844415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.590480Z digest=sha256:4a2e98a28f70192711d2e409153e671dc7d1a578ef38211344c810acb6fb906e

Observation 0520f3aa-7396-40c3-ab93-053ea3809549 · outbound

This paper cites The Analysis of Linear Partial Differential Operators II.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting The Analysis of Linear Partial Differential Operators II

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.828183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.595057Z digest=sha256:2305de34823eba81135a9417655157e62f1ac9a466623c01ee3f90fa6b45a082

Observation deda5f10-8b4f-4458-aa21-fdc466e3c597 · outbound

This paper cites On the asymptotic behavior of resolvent kernels , spectral functions and eigenvalues of semi-elliptic systems.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting On the asymptotic behavior of resolvent kernels , spectral functions and eigenvalues of semi-elliptic systems

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.812297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.600204Z digest=sha256:a6fc8617153f7de8cb1912520fbcbaa1e766de3fd9c367b4f13a87a963865acc

Observation 9dc2e470-87fb-4c7f-a735-1d8ce9ca600d · outbound

This paper cites Analysis: Second Edition Graduate Studies in Mathematics, volume 14.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Analysis: Second Edition Graduate Studies in Mathematics, volume 14

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.795978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.605006Z digest=sha256:aadee2c1aeb941c88c2a3d1b6beddb9f970caead8dedf525d72272769df334a4

Observation 3a26afe9-e446-454b-949e-22626c925933 · outbound

This paper cites an unresolved cited work.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:54:37.779573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.610002Z digest=sha256:ca4da346ca211ae64a89ab4f543515aa7728f64b903fbdd063e4353f663f801f

Observation 5f442a25-4b11-44a9-813e-9d66e953d451 · outbound

This paper cites Analysis of heat equations on domains (LMS-31).

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Analysis of heat equations on domains (LMS-31)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.762988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.614782Z digest=sha256:eac6cce7510e3b1cbea4178e27b2081600e4eaf31a20dc38953d9539c338d7d4

Observation 26b1735e-d079-434d-b53b-bd2d1d8c0c3b · outbound

This paper cites Convolution powers of complex functions on Zd.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Convolution powers of complex functions on Zd

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.744899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.619772Z digest=sha256:1b55a7b021064cd8fabc3a5d86658f426e3c1d227820e0d272e580f603ee715f

Observation 90bc0ce9-6301-43a8-8d06-e220975c3ad1 · outbound

This paper cites Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.727907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.624368Z digest=sha256:881d82f8c2745e539423d5617d71970c4df5b87256e16a0f3a560269e1815cf9

Observation 06eb5c5a-5f15-41d3-a605-15f17e873f10 · outbound

This paper cites The heat kernel and its estimates.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting The heat kernel and its estimates

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.710570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.629278Z digest=sha256:f37769f00e9a00bb314c1b6e2930f198824a8c0e0ec77a70844b73eb8fc63809

Observation 40aac55a-1dd9-4999-bd3c-941d3808d29c · outbound

This paper cites Spectra of partial differential operators North-Holland Series in Applied Mathematics and Mechanics, vol.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Spectra of partial differential operators North-Holland Series in Applied Mathematics and Mechanics, vol

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:54:37.694520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.634230Z digest=sha256:858bf3469b93f4fad6b8f343ae2f056596c68e62c94f9fa4dae901d3ef4f0795

Observation 1ca1d8f7-7a80-4219-a90b-f1ce1141dcc9 · outbound

This paper cites an unresolved cited work.

Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:54:37.677113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:54:37.639139Z digest=sha256:65815440434af546ec940c272e4301b15e1744a02cc48624de1f70d4dff0808a

Pith citing papers

No inbound Pith citation observations are available.