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Paper Citation Record · LEDGER

Frequently dense harmonic functions and universal martingales on trees

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.05579.

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

pith.paper-citation-record.v1
1908.05579 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:21:01.528608Z

measured 15 of 15 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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f6d8a678-8ba3-42cb-8bdb-a4ad221c6297 · outbound

This paper cites Abakumov, V.

Frequently dense harmonic functions and universal martingales on trees Abakumov, V

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.748594Z

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=2026-08-14T13:21:01.471627Z digest=sha256:ba0235fcb42876f28e9bbb8bc1b5bdb8e44baff05b1a740ca966563a6d1830ad

Observation b3420a67-d09a-42f9-bb5a-2fd9843aaec8 · outbound

This paper cites Atanasi, M.

Frequently dense harmonic functions and universal martingales on trees Atanasi, M

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.734982Z

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.

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Observation a06c5b72-29df-48a7-8d66-7d761c045805 · outbound

This paper cites Bayart, Universal radial limits of holomorphic functions , Glasgow Math.

Frequently dense harmonic functions and universal martingales on trees Bayart, Universal radial limits of holomorphic functions , Glasgow Math

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.722342Z

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=2026-08-14T13:21:01.479799Z digest=sha256:3daf8993bdbc2c1298691ae644748407f38fdef75cdcce340feae2e1cee42887

Observation 3723319d-e6d3-451a-a773-80692d2ffdea · outbound

This paper cites Bendikov, A.A.

Frequently dense harmonic functions and universal martingales on trees Bendikov, A.A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.709820Z

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=2026-08-14T13:21:01.483722Z digest=sha256:975e22dcbc335ff2952d1b6ee73981c6e00b6934aa3456c64244b180fcd3abd7

Observation 1809df1f-2a07-421e-b320-30608543c03c · outbound

This paper cites Cartier, Fonctions harmoniques sur un arbre , Symp.

Frequently dense harmonic functions and universal martingales on trees Cartier, Fonctions harmoniques sur un arbre , Symp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.697921Z

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=2026-08-14T13:21:01.488141Z digest=sha256:69b620d02fbcbe57ec6878ec0791a9b4834c34131643b50db2a6397f3d8c9b09

Observation b7dfca75-e328-4c61-8891-7a7efbd836dc · outbound

This paper cites Fatou, S´ eries trigonom´ etriques et s´ eries de TaylorActa Math.

Frequently dense harmonic functions and universal martingales on trees Fatou, S´ eries trigonom´ etriques et s´ eries de TaylorActa Math

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.684768Z

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=2026-08-14T13:21:01.492128Z digest=sha256:e5ff458c92af1df946c214faae21dc79af8347640a0492a1278f43d7736515cb

Observation a93573f1-d27e-453f-b43a-c70bd8a01578 · outbound

This paper cites Fig` a-Talamanca, M.

Frequently dense harmonic functions and universal martingales on trees Fig` a-Talamanca, M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.672352Z

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=2026-08-14T13:21:01.496372Z digest=sha256:c094e2c907ff4a07c939fa3640c7f45d98f5b80211671c90b94b93de2e5a6726

Observation cffcfc84-c18a-4b54-82b1-01ea1bbe7b88 · outbound

This paper cites an unresolved cited work.

Frequently dense harmonic functions and universal martingales on trees Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:21:01.659549Z

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=2026-08-14T13:21:01.500118Z digest=sha256:538bc804dc71a63bbfd36d2bae4a4bc66d296e4bef48b6ddefc3c8ed049cfc1a

Observation 91265d7a-a80f-49c1-9eb3-bb0abdb30b5d · outbound

This paper cites an unresolved cited work.

Frequently dense harmonic functions and universal martingales on trees Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:21:01.647345Z

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=2026-08-14T13:21:01.504020Z digest=sha256:a4c515423e680d6df44adc22db0bc616c6c16a96111f5f332194ba1f4bac77e3

Observation a067002f-3753-4416-a4bf-7a5ffe0d12f3 · outbound

This paper cites Kor´ anyi, M.

Frequently dense harmonic functions and universal martingales on trees Kor´ anyi, M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.632804Z

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=2026-08-14T13:21:01.508021Z digest=sha256:f3c1e703197ad8afca0afd68f81d5facb485d83bd9881a8dcf5e712caaac9f5c

Observation fd0ae545-4ca1-4f61-80c3-8b50240a5bd7 · outbound

This paper cites an unresolved cited work.

Frequently dense harmonic functions and universal martingales on trees Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:21:01.620680Z

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=2026-08-14T13:21:01.512116Z digest=sha256:24c54a7e5e8329d737c83b19c4c5f03c1395a58cd239f51e704a44d1c3568c79

Observation c5508061-c7a4-445c-af4a-d24c66cdba41 · outbound

This paper cites Kyrezi, V.

Frequently dense harmonic functions and universal martingales on trees Kyrezi, V

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.607905Z

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=2026-08-14T13:21:01.516101Z digest=sha256:e34786dda4721d06075cb492c4adc7529c388ff24c72cc38659188d29b2f6bfd

Observation db745d8a-3277-4ecb-a81f-2a51566e2f3e · outbound

This paper cites Menshov, Sur les S´ eries Trigonom´ etriques Universelles, Comptes Rendus (Dok- lady) de l’Acad` emie des Sciences de l’URSS, XLIX (2), (1945), 79–82.

Frequently dense harmonic functions and universal martingales on trees Menshov, Sur les S´ eries Trigonom´ etriques Universelles, Comptes Rendus (Dok- lady) de l’Acad` emie des Sciences de l’URSS, XLIX (2), (1945), 79–82

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.593972Z

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=2026-08-14T13:21:01.520485Z digest=sha256:bb8b6754269dde44f3d3a2c0a02c9d7e56ae3b6a4b353b527f86bcc411ab5381

Observation 68385498-6a95-4fe1-85e7-0afbdb47c5c8 · outbound

This paper cites Papachristodoulos, Upper and lower frequently universal series , Glasgow Math.

Frequently dense harmonic functions and universal martingales on trees Papachristodoulos, Upper and lower frequently universal series , Glasgow Math

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:21:01.580654Z

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=2026-08-14T13:21:01.524485Z digest=sha256:e5cc54297641ae3d0e11d9c087732b02989706aa635f6a4118a2665db6034e2f

Observation 7f9192f6-a823-4f8b-974c-7cc862daf62b · outbound

This paper cites On the duality between jump processes on ultrametric spaces and random walks on trees.

Frequently dense harmonic functions and universal martingales on trees On the duality between jump processes on ultrametric spaces and random walks on trees

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:21:01.567052Z

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.

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Pith citing papers

No inbound Pith citation observations are available.