Pith. sign in

Paper Citation Record · LEDGER

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group

As of 13 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2411.15814.

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

pith.paper-citation-record.v1
2411.15814 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:02:06.866759Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:48:03.836473Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T05:48:03.987642Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation acade274-55ce-4148-baa3-64bb5e59dc42 · outbound

This paper cites Alikakos, P.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Alikakos, P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.281522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.734607Z digest=sha256:13907a16d1c8bd12b65acdaecd464d3f1363134037c8d58ffd725145d7b8584b

Observation 70f388f8-bd37-48d5-8430-a69e7834dabf · outbound

This paper cites Arcozzi, F.Ferrari.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Arcozzi, F.Ferrari

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.270175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.739690Z digest=sha256:2114070d49ebb94f05e3f505f0c53a1b83b29ee1e657b73113ebc4d7ea860d4c

Observation c8481f00-c8e0-47ac-a2da-22ca1b88eee4 · outbound

This paper cites Baspinar and G.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Baspinar and G

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.259198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.743889Z digest=sha256:845bca87f4d3e0e9aa32da83e1891decab7416599a479c9c06f80f2eee1ac25c

Observation 82c229b4-59d3-4746-862f-6a2a271cc52c · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:07.248034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.747949Z digest=sha256:04bea31a2cd287565264f1be30a04a15fc1e08cd05a3eef6ca3364b9805d791b

Observation d3ae6095-cb2e-45d2-9735-f2ce98f7d81b · outbound

This paper cites Asymptotics for the heat kernel on H-type groups Annali di Matematica Pura ed Applicata, volume 197, pp.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Asymptotics for the heat kernel on H-type groups Annali di Matematica Pura ed Applicata, volume 197, pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.236669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.752320Z digest=sha256:c1f04e1b7c1b019165488fd3bef560149271e66db743d86c3be90dbe88d46180

Observation c54c5799-55b7-4a50-886f-6beb9c6cfb94 · outbound

This paper cites Bonfiglioli.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Bonfiglioli

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.225504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.756425Z digest=sha256:d06cdb262084e6b8b318687579205b50ba4f9c371a3db4b28e4edc6951ca7a6f

Observation 3cf1c1d6-99d5-43c3-b740-171472f5f910 · outbound

This paper cites Bonfiglioli, E.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Bonfiglioli, E

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.213090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.760496Z digest=sha256:9e8ca5411c62a058047226aeecae118bcc1791fb2b133ed49622cd815385aae3

Observation 6b949998-9602-4dc5-a2de-85a0b5e392f7 · outbound

This paper cites Capogna and G.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Capogna and G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.201421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.765158Z digest=sha256:c5d66c12858dfaa36aa9c70b60d62ef56c8b59010107c31ec413d52bf0d4733d

Observation 5f85868f-ff27-418a-95a0-c93f45d03c2a · outbound

This paper cites Carlen, M.C.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Carlen, M.C

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.190682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.769126Z digest=sha256:66ecdc9b8eff0af6bf5c0ef39591ce7bb2b20e71e49bf073f34f4ae74c6e73f2

Observation 0722ac57-646a-466d-a3e1-f03f42cf5cce · outbound

This paper cites Free Energy of a Nonuniform System.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Free Energy of a Nonuniform System

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.178450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.773032Z digest=sha256:bb7590b65205a72c61b800398c6a15cf62610b2ea3b251cad8d44d1ec587866e

Observation b3834ff4-044b-4382-b4b2-9ebe9223644d · outbound

This paper cites Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.166090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.777059Z digest=sha256:b85f1feaa7749e84fcb8585ec31b414b9045eec248966ebceaf5b2373a456372

Observation 56253d3b-3312-4b66-98bf-0bc0ea0f0c2b · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:07.154204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.781235Z digest=sha256:a24eb05d851cd30236f98a007603ea5c76a0a96bd4cbc42f562c394d699437bb

Observation 4430052a-d68b-4dac-b885-9ba7efa7de13 · outbound

This paper cites Citti, B.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Citti, B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.143816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.785408Z digest=sha256:95279bbc12776e114f91af35de3bc59c7eb3289190e47e2be4fea198bfabb9c2

Observation e8fd2895-52ef-480a-a9a8-0f152cfb8100 · outbound

This paper cites Citti and A.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Citti and A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.132910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.789402Z digest=sha256:1c8308bfee2679ac845c13dd6ff2bdc71e4331498122f659d818dfb7544ed6b5

Observation 08496e44-7d31-4ef4-932d-6c095f71b533 · outbound

This paper cites De Masi, E.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group De Masi, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.121860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.793812Z digest=sha256:a7c37dc498f8d1a477595acc6742ba45a8738b502974bdbdba64bc53a84d69f0

Observation 5a114a62-bd2a-4ff2-bb8a-8c940e834711 · outbound

This paper cites De Mottoni, M.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group De Mottoni, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.110551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.798462Z digest=sha256:e5bed687ae6cb5cc6e28b26ecbc1ac960c24aecdd5d62f338fe4a4a33a4438a5

Observation dfb827c8-350d-47c2-81c7-487fe45e2898 · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:07.099422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.802330Z digest=sha256:e2e73c9313ae508717ec9024327b96e0877648af96b68655a4c6a5ecfe591daa

Observation bf0a2003-e65b-43e7-980d-12e1a7b3f164 · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:07.086934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.805593Z digest=sha256:0133e959f3f790bd160ce6b6cbd61c23b950c574f58f5db90b78b09a59296918

Observation a858dbf2-c3a6-41de-b575-d6d4b1d7a6eb · outbound

This paper cites Metric Hopf-Lax formula with semicontinuous data.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Metric Hopf-Lax formula with semicontinuous data

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.076063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.809387Z digest=sha256:a53ea086e750dd725de28c5fe5757750e4bfc9291a07fbbf6790219fa696e523

Observation 2056da56-eefd-42c5-9d4b-d16bddbbf1bd · outbound

This paper cites Evans and J.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Evans and J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.065481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.813237Z digest=sha256:acb901c8fb8a90138bb03ab9d14a1e4f93344eff623fb4002793671f91144070

Observation 3db9c230-dcc0-4304-8357-98a8a373f3d2 · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:07.054679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.817087Z digest=sha256:42ea52183d6d86d406d005409e2fe91194f7672144cfeb73eda0fe7de25316ef

Observation 9ea13acd-2be5-4989-a5fa-c55b7d531cfc · outbound

This paper cites Ferrari, Q.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Ferrari, Q

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.044114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.821402Z digest=sha256:1ae856d051152ba0860ea43c51de1f025e82d48edda3a3c9ba95517588db0353

Observation 37c561d5-62b3-4ee8-bbcf-f919184cd7c1 · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:07.032054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.824890Z digest=sha256:58fa86127e73893c1455b6259248933cb7b7fa0a14706c69a016785bb796ffca

Observation ada7c031-e1e3-4ae7-8570-a567040c1e3a · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:07.020800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.829000Z digest=sha256:e36197e9a6b87b824245fa13d5c043ec36899fdd6cdbf4ae46b0873359e71418

Observation 62ed2c32-8613-4087-babe-a2c0f471578f · outbound

This paper cites Communications in Mathematical Physics, vol 169, vol 1, pp.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Communications in Mathematical Physics, vol 169, vol 1, pp

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:07.008617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.832627Z digest=sha256:9b1ebc7786357b7957e0640f596ebc55436ac94a12305eecb972f7b2e7b87320

Observation 150320f5-0cb8-4001-ac6e-ea6627eef740 · outbound

This paper cites Lacoin, F.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Lacoin, F

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:06.995767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.836983Z digest=sha256:6f910c44fc5ec915f822fbe8e48016225ca6d3c850705caa769647a74f048150

Observation 24012e12-d0e5-46c8-925f-f904380ac98c · outbound

This paper cites Le Donne, Lecture notes on subRiemannian geometry - Carnot- Carath´ eodory spaces from the Lie Group viewpoint.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Le Donne, Lecture notes on subRiemannian geometry - Carnot- Carath´ eodory spaces from the Lie Group viewpoint

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:06.983100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.841531Z digest=sha256:c85d276a8e14cb8a9526993cc90de852bfae94ae4330918e43d7c35f945f0cc1

Observation 23d3b574-8ddc-411d-8b94-738c995295ca · outbound

This paper cites Montgomery.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Montgomery

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:06.971433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.845838Z digest=sha256:55216c224dc050f77c869806228b9eb34245d3863fee746e700b8282879617cc

Observation 81b38241-3fa7-4414-8567-0de453407ee9 · outbound

This paper cites Serra Cassano Surface measures in Carnot-Carath` eodory spaces Calc.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Serra Cassano Surface measures in Carnot-Carath` eodory spaces Calc

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:06.959336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.849674Z digest=sha256:6276e968cfc1b09248055c7c1aff870c53005b5045cc27f16afd0684f8fd3665

Observation 841d4e8b-a1b7-4a66-890c-c44252ae4d45 · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:06.946849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.853795Z digest=sha256:53de1c1beb7740ff6d73f4fb6cfad865bf676479cb2479a4fe818995af75f8c8

Observation 3a193925-b5e2-493c-92d2-0e76f0037b92 · outbound

This paper cites Petitot, Y.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Petitot, Y

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:06.933111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.858558Z digest=sha256:09af70ebc0760ce03d66ad322edff8730d8ec1a7e202c3f3e1e52081a9e92a30

Observation 07042e35-4697-4075-82e5-c6f9d38bc6cb · outbound

This paper cites Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:02:06.920573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.863029Z digest=sha256:bed0c58cc11c8bb1205413616e5540eded97f952da46fa5ecdcf8324fc62d043

Observation 43600e5e-40e3-42cc-a29d-b95592ff822a · outbound

This paper cites an unresolved cited work.

Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:02:06.903553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T14:02:06.866759Z digest=sha256:3079d29294a0c82180fc5dc00a1578c5a87f406df5bd0fdeff728532918211b5

Pith citing papers

Observation 716858ac-4e7f-4716-9aa2-ae9d270972cf · inbound

A sub-Riemannian model of neural states in the primary motor cortex cites this paper.

A sub-Riemannian model of neural states in the primary motor cortex Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:48:03.993897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T05:48:03.836473Z digest=sha256:dae8b01ecd93e6acbb5bb71983168cf03484e413d59968e775a162e8719d70ea