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Paper Citation Record · LEDGER

Equivalence of definitions of fractional caloric functions

As of 7 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2410.16188.

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

pith.paper-citation-record.v1
2410.16188 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T19:41:35.482654Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T11:10:47.500477Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c6809c0-619e-454e-ae8f-d9a3db6f0f80 · outbound

This paper cites Abatangelo.

Equivalence of definitions of fractional caloric functions Abatangelo

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.129165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:da07c4c9f377942991bcbe6798a91c71b72558e855f75c1aa432b3679d52421c

Observation 6b5edae1-f866-4f0a-884d-8f3356e0817a · outbound

This paper cites Armstrong, K.

Equivalence of definitions of fractional caloric functions Armstrong, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.133683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:6a493696c34eacec831892a72a50f40c4128980248362e81b1c3c2bf87d419fc

Observation 96d2fa1c-378a-441e-938c-c7437bba80b7 · outbound

This paper cites Armstrong, K.

Equivalence of definitions of fractional caloric functions Armstrong, K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.113157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:bf017fdd28fd09ae526e09780f2ce2b38402e123536970ea0c710c71cba7219d

Observation 1b083c5b-a707-4434-b3ae-0d6593fed45d · outbound

This paper cites Barrios, I.

Equivalence of definitions of fractional caloric functions Barrios, I

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.104346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:586d2c3090fe7f7b0fbf84decf578730a05484489957c344591331a86408e3e3

Observation 70b74c3c-1d85-4483-b0f4-ff614daad989 · outbound

This paper cites Biler, G.

Equivalence of definitions of fractional caloric functions Biler, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.109109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:ff73a38cc35b001f06756db9a1c4b84cc556bb105f44a43595de2b0a8d17cfff

Observation eed76825-0fc1-4431-a5a2-5d9db76e9ec6 · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.116481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:9dfe39e7200ea12eafcc36b099c3cd14750a83e0b1c00389df2521e408e8fbdc

Observation 739c9470-862a-4ea4-8a3d-4b76518250ae · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.123673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:be923e8592c19038483a1aa2abe7626226537e3a0d5aace99d5aa9436d10754a

Observation 87ee41a4-6f23-4c4e-b8ab-c40168505e4d · outbound

This paper cites Bogdan and T.

Equivalence of definitions of fractional caloric functions Bogdan and T

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.073925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:e7f08311e81b3d46f1429804420a0293afdc843526087ba538d18ad292b334af

Observation 8909a1ee-c0ed-4918-8414-4ebcce1cb3ee · outbound

This paper cites Bogdan, T.

Equivalence of definitions of fractional caloric functions Bogdan, T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.080191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:d614f252fa18562be0da9e8fd1ab94e52dca3fff9199b5c9ee4b2f8aa25fd336

Observation 79c8c2ac-f703-4a34-bf0d-c82d08403ac3 · outbound

This paper cites Bogdan, T.

Equivalence of definitions of fractional caloric functions Bogdan, T

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.092187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:cf188fb8f884b8ad004df9d95b934671774c4a1d50331cdfde4651b5c20c7752

Observation 54d183e6-91f0-4377-b6ab-7396ca6d44ea · outbound

This paper cites Bogdan and T.

Equivalence of definitions of fractional caloric functions Bogdan and T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.066676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:03de077157ee82d5960bdd16513fcde5fb339064b52eda41ee99dc8cc858011f

Observation eea1aed9-fcb9-4d6e-ba88-16a9c9180a65 · outbound

This paper cites Bogdan, Z.

Equivalence of definitions of fractional caloric functions Bogdan, Z

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.137419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:3d2ceff1bdbb9438b871e0d6e30c9aa04a6754217a99a9001b9ef98f870036e7

Observation a1857f18-3027-4810-b94b-58bc1ee5ef28 · outbound

This paper cites Bogdan, J.

Equivalence of definitions of fractional caloric functions Bogdan, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.062974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:a6de1746de8f945862338a447347ef2d645268f1eac16dddf216f678c9204bb4

Observation 6df13042-eed0-4907-9549-f3715b2617f5 · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.070474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:61c852023ab432bba06aa1d80ae44ee0436a2d481337cf70eedac7e7be356494

Observation b0382c68-16d5-41cb-82c2-99bde0c7970c · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.084188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:db74a63880d02ab9bb739fd2b65d426518556c66128112d5f3c459b50f0adb37

Observation 6000a96a-32af-4c25-a02a-c05e85e5392e · outbound

This paper cites Chang-Lara and G.

Equivalence of definitions of fractional caloric functions Chang-Lara and G

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.088411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:bd15e26cca076c457eda00bd02ed8aa849acda7c4865953bd8674118832d0fab

Observation a31eb58d-1f5d-4ce2-9c72-135d31fa135f · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.210803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:5495de6ae0aee9e24f1bd6169d562a2359bb66c38cc92d73005a93703e0cfa30

Observation 008566cf-b9f7-49d5-9b49-01c83a529b18 · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.214661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:4e3fd318005fad365a03dbca45dec0876e1f0f1f6eeef101cf0379694a7d6a3e

Observation 41ad70ef-43f7-4c27-bba6-b73dc909143c · outbound

This paper cites Chen and T.

Equivalence of definitions of fractional caloric functions Chen and T

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.197386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:78669f9e0b15b9fe34c06fa4fe1f04e43c411d7b2a8db22677bdfd4161c30bb1

Observation 6687666e-281b-422d-b848-a3c4f40bc184 · outbound

This paper cites Chen and R.

Equivalence of definitions of fractional caloric functions Chen and R

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.192519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:cc082c5194a8f0320db545357c187cfcddc9f33e20b61a2382ebae4613c46e37

Observation 54764a54-5d79-4cee-bca2-ccc4250a2b66 · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.201082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:27c0044f3e31af9c9a79913f40b1c890dd7068cfc8f7a78ec338464baded9bcc

Observation 2689c08d-9742-4a1a-9d9c-4f0cbbb43120 · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.206793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:871c44b2a2caff280d75527fd3a728544a57c9cb7d2ef6a39e88b4b62cea9546

Observation 10ad0c10-8487-4809-bcc3-a9a217231f5b · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.178288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:b09edef041bd9d5449fb148427d71d83c302bdb55e76c77f7cfae0616ec958d9

Observation 3390e4b2-8c82-4ca1-986e-6aaf3c130050 · outbound

This paper cites Eldredge and L.

Equivalence of definitions of fractional caloric functions Eldredge and L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.183920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:750a57e82930f76dc6dbf007dc4d743d92c93585cf33dae9152d7b6e4a6792ae

Observation cbf909b5-4fa6-4c5a-995b-8b9f866da050 · outbound

This paper cites Fernández-Real and X.

Equivalence of definitions of fractional caloric functions Fernández-Real and X

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.174668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:53aa210a3098e738f42036a8e207439e4a0fb8a6fa116d87f88a51f250f9b76c

Observation 212bd42b-66af-467b-a63b-6965f5ad4d29 · outbound

This paper cites Freidlin.

Equivalence of definitions of fractional caloric functions Freidlin

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.188885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:d7c4c0710a2be2b14ec1d7531f24b9883e75b4abcca06e29534dac022f4116bc

Observation 077af31d-5555-4e68-bdf7-6b6deb6cca5d · outbound

This paper cites Grzywny, M.

Equivalence of definitions of fractional caloric functions Grzywny, M

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.168819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:8a292edd41c32a29499063473ec12d07c247e4b2724dba94a909c718d852bce3

Observation 22f29314-f073-4672-a914-f2d6ef987119 · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.218522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:20c1fe3548eea9e59791d3689c4d8f706be86bf087aa244b989875d4396d12da

Observation 597ce8c9-a48a-4d56-bfdb-ccf4160e6893 · outbound

This paper cites Ikeda and S.

Equivalence of definitions of fractional caloric functions Ikeda and S

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.222308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:fa94a5e4181150192b51e53b7a49a6088faa200fbd900af0c8a3f873284136d8

Observation 178875b3-9631-478a-b502-db720e7b712e · outbound

This paper cites Kulczycki.

Equivalence of definitions of fractional caloric functions Kulczycki

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.226348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:e500855b534265d94934e61217d14a83c550e45315fe30a485d60c45ec13d9c2

Observation a1590736-aeb9-4436-b3de-268113addc32 · outbound

This paper cites Kulczycki and M.

Equivalence of definitions of fractional caloric functions Kulczycki and M

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.163399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:9a8593dc2eb69a69005d638f04fc1cd18347b2641aa1e1564fecd0bb8bebc5ce

Observation 232d14df-9b03-42ad-abcf-e1146ebc8264 · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.158763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:82f4f5d5c34cf40d450f3602605c777eb534f1d6a21c322009a9ce6678cd40ca

Observation 6d28a824-cd64-4f35-ad5b-e4a7738c7217 · outbound

This paper cites Transla ted from the Russian by A.

Equivalence of definitions of fractional caloric functions Transla ted from the Russian by A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T19:43:25.143377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:29ce1f84a515a613ea9c84c0e0b875080cb68d4a4de07fcd090567bbc71f1554

Observation 9b7a00bc-00d6-46d7-95a0-cfc2ab3828fb · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.147216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:64ef36cca321b0fd5156b7ee824415de6558f5c7bdf7395eece231c91b1f749b

Observation 8206ab07-3f5e-4383-ba84-007d611afc7e · outbound

This paper cites an unresolved cited work.

Equivalence of definitions of fractional caloric functions Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-05-23T19:43:25.152566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T19:41:35.482654Z digest=sha256:5dcddda1cd8daa3e9255b4e3799fa43f799dd7732d3bea670ad9d777697a5353

Pith citing papers

Observation aef1224c-3561-4b8a-8d14-dacdb53b71d4 · inbound

Modelling Anomalous Diffusion: The Role of CTRWs and Non-Local Dynamics cites this paper.

Modelling Anomalous Diffusion: The Role of CTRWs and Non-Local Dynamics Equivalence of definitions of fractional caloric functions

Reference 93

Resolution
unresolved
no resolver link, observed 2026-07-30T11:10:47.500477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T11:10:47.500477Z digest=sha256:4d8b8e1eeebca7fa629c5c00aa76a4ad49bfab574fe784d5e72f89ae28493798