Pith. sign in

Paper Citation Record · LEDGER

Characterization of subordinate symmetric Markov processes

As of 17 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2412.05030.

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

pith.paper-citation-record.v1
2412.05030 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:14:37.340708Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

27 of 27 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b3d1bed8-b485-4e51-9b67-0655495d47fd · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.881124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.189510Z digest=sha256:d3b43b37a2965d40b6b874e40d74255e47ff0fccb3d44abbbb180e7ee0f9d04f

Observation cf21fe15-712b-462c-a1bc-6758363be0e7 · outbound

This paper cites Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces.

Characterization of subordinate symmetric Markov processes Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-11T21:14:37.398486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.196023Z digest=sha256:cc29febba9bb5ed909edcc2f42ff9f1026e270be1fd55172b7cab65f9d10f822

Observation c3ebdde8-001a-459f-8f5e-019a60c7a99b · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.864464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.204235Z digest=sha256:9809f24320ad720692d6ee955a7899f6adcccb6705fe0778f274b222f8fac5cc

Observation 1607a95d-3c18-40c2-855e-1b5a5840e43f · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.848533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.210291Z digest=sha256:69fb4480ab8ba155fc0f73d06020618a60068cf9a64b95b2073e448443d22e9c

Observation d86be40f-95ef-46e1-97eb-4821f7dd059a · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.831386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.215952Z digest=sha256:6e4fca0479a7f4940d4895f3cc2a8bd5fe83c201355e78adde8ba85a2f4044cd

Observation 24783f34-7c22-4ef0-a203-a84e08345051 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.815246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.221230Z digest=sha256:45ed04fb08527359db8f625c4b81ff2e94484f477fbe59057a0d195395e4f3dd

Observation f8df9311-6205-426f-8517-884792f03437 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.793538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.228238Z digest=sha256:fa734075b1a0e25f3b41a0de413f2bdfada59688682fa3c91512d6555171151f

Observation bf4b2f67-31f3-4349-bf74-d1c532f0be69 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.773756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.235484Z digest=sha256:9e741ea9b57bc0c69544d319b66c66d2494d68c23fcbc119f2f28ae9ccc2bb62

Observation bba27c5d-0730-4d6a-89f5-e209c43654e1 · outbound

This paper cites Bogdan, A.

Characterization of subordinate symmetric Markov processes Bogdan, A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.757142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.240621Z digest=sha256:9dd521c70362be1122b8c8f06c330a51fb35d744b869f9b319d42cf8aec4c1e1

Observation ee056199-6a3d-4692-9355-93f3090e457f · outbound

This paper cites Chen and T.

Characterization of subordinate symmetric Markov processes Chen and T

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.739103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.245969Z digest=sha256:7dc2600f5224ed98209d9688ef010bdfc01f22a8950b1d4a26927012c8581052

Observation 87192ad4-23a8-4302-b103-83edac8d3861 · outbound

This paper cites Chen and T.

Characterization of subordinate symmetric Markov processes Chen and T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.721725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.252369Z digest=sha256:4374db3226a6cff05ef9099cfa0c0b9caaee02c7a549c2f48c6b24ef88953f47

Observation cca9f4ae-8013-4d5e-971e-770b1d3dc5a5 · outbound

This paper cites Chen and T.

Characterization of subordinate symmetric Markov processes Chen and T

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.700868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.259852Z digest=sha256:e7d8e514865b766c05c33652218a42875937ad0f25844ac2fcd5d956fd8a4a0e

Observation cd2408e2-5c63-4bf3-90b3-09e498172c8b · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.682306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.266382Z digest=sha256:4d092b798450f57e7a3d3bd33a61a9bb9960a0c0c3aabe1b1433909fa602da50

Observation a7eb82f9-234e-472c-b4cd-137c760a710d · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.662696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.272373Z digest=sha256:62be2cd8aba0536f96eb6e73d7726843c949ae2a262cec6647ced52eb9e9630b

Observation 67a26a5f-f6d0-4e02-8d3a-bef9637cc8ef · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.641580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.279232Z digest=sha256:b63192a92089b78c7b6d5b9ed34451c88447486f9554024b108120400090bc28

Observation 2a31edc3-a148-41fc-9dd8-51d18f1a4d4f · outbound

This paper cites Fukushima, Y.

Characterization of subordinate symmetric Markov processes Fukushima, Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.624218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.285341Z digest=sha256:0c8e8de5717543c47cb2af48dc2496e4b62e695f414cdabcda5aa2d446c6c202

Observation d5306d0a-c9f2-498c-9981-c9a2c96613e8 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.608754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.290482Z digest=sha256:36025c2c0607fb563cf7b9c7968c9d2684e057d553cd13e811ac63e9c54ad3b2

Observation d9dc3e90-f27f-461b-b9a6-6ec8507dae23 · outbound

This paper cites Kim and A.

Characterization of subordinate symmetric Markov processes Kim and A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.589369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.296328Z digest=sha256:ed8e1d5128f3cf64f3f601d3307ef2957309eea316a6a53c64f3c4f1f8173234

Observation 2250d57b-1a6e-4ead-a876-1b1743e687b8 · outbound

This paper cites Kim and A.

Characterization of subordinate symmetric Markov processes Kim and A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.572344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.301489Z digest=sha256:6bc9d80def680b12eda189c24c1412b97cca7805627a230df9200405863d9362

Observation 63b5aed7-e318-4208-81a9-60d6014502bb · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.555346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.306521Z digest=sha256:0a20a519f213b690b76871bf3cb04b41541156d336871b3d3a28f5eecf9297bf

Observation d65b3942-5690-425f-bc70-df3a903e8667 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.532998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.311265Z digest=sha256:f3dd61cccdef98350e808dca7f8222de732338164d7913f9faad7b193ffd769b

Observation d4b1bd5c-9cae-4cc5-a10c-16ffc19c87a4 · outbound

This paper cites Kumagai, Some remarks for stable-like jump processes on fractals, in Fractals in Graz 2001, 185–196, Trends Math., Birkh¨auser, Basel, ; MR2091704.

Characterization of subordinate symmetric Markov processes Kumagai, Some remarks for stable-like jump processes on fractals, in Fractals in Graz 2001, 185–196, Trends Math., Birkh¨auser, Basel, ; MR2091704

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.514773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.316269Z digest=sha256:762b3a75b0a03aa4b60704e3aa2cc49a9b0caf5db9afa7a32d08f20462f8b035

Observation 3c8584b4-4658-40c1-b97e-a2f055e20c30 · outbound

This paper cites Liu and M.

Characterization of subordinate symmetric Markov processes Liu and M

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.491881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.320521Z digest=sha256:281bde1b2b1be7435ff72f410108dd0c1213051cf90aa9948438a08dc10200a0

Observation c243c783-d4fd-45f1-ba7d-403894aacddb · outbound

This paper cites Mimica, Heat kernel estimates for subordinate Brownian motions, Proc.

Characterization of subordinate symmetric Markov processes Mimica, Heat kernel estimates for subordinate Brownian motions, Proc

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.472150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.325528Z digest=sha256:d7ce37c5834ef927662618869e87664bad768a1944ee7375b290e593dfb106ed

Observation 9e5aeb24-f31b-48cc-b80b-46580f60a535 · outbound

This paper cites an unresolved cited work.

Characterization of subordinate symmetric Markov processes Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:14:37.451587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.330088Z digest=sha256:54d2b154adcbf0e6e029d202f97b56d87e645902ae270878ea377b344b97ff3d

Observation f6009f1c-f864-4335-a411-557994263009 · outbound

This paper cites ˆOkura, Recurrence and transience criteria for subordinated symmetric Markov processes, Forum Math.

Characterization of subordinate symmetric Markov processes ˆOkura, Recurrence and transience criteria for subordinated symmetric Markov processes, Forum Math

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.433011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.335980Z digest=sha256:fcdad4a6059a30fe283135466aee99c92bdb7574205896f2b893f1bc7ee54c09

Observation 4b38beb1-180a-4ea7-aeab-06e20ff5dd58 · outbound

This paper cites Song and Z.

Characterization of subordinate symmetric Markov processes Song and Z

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:14:37.415941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T21:14:37.340708Z digest=sha256:34309528fb5bcbcd82b877b53b65915144d9fecd68d5cc5fbf6952a4f36e6993

Pith citing papers

No inbound Pith citation observations are available.