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Paper Citation Record · LEDGER

Central measures on the r-differential version of the Young--Fibonacci graph

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.16756.

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

pith.paper-citation-record.v1
2411.16756 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:03:27.146846Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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 exact3
  • verified fuzzy13
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0c0bd82-c323-4e33-a178-144000cfa4b0 · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:28.376055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.641401Z digest=sha256:99d9f38cde44ec31e9bfea75e2f623be16b51d23cd9b4fa03fb329e8e953ec31

Observation a5739a56-ceb2-4c06-93ec-5400cf1fa626 · outbound

This paper cites Этот граф помимо модулярности является 1-дифференциальным, то есть для каждой вершины исходящая степень на1 превосходит входящую степень.

Central measures on the r-differential version of the Young--Fibonacci graph Этот граф помимо модулярности является 1-дифференциальным, то есть для каждой вершины исходящая степень на1 превосходит входящую степень

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:28.354483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.694238Z digest=sha256:704afd5b713a3f6a8de29eb2f2a9fe4a243bec894d45d8f3e565b49f5d3ea4d3

Observation c7d67faf-bd96-4295-b66e-9afd25086ef3 · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:28.341283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.756092Z digest=sha256:5eea991fa520cc99484c6c1bd1ad5ce69931ed484f46512d7dcc9e2a524147d4

Observation d5bb9ebb-41cc-4747-87dd-c0bffbe12ef5 · outbound

This paper cites бесконечно удалённую вершину.

Central measures on the r-differential version of the Young--Fibonacci graph бесконечно удалённую вершину

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:28.326876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.843010Z digest=sha256:1e4d803312f4f7669444a2581533c9e3afcda44f168337ae07d9d293c33b8f51

Observation e4bcdb36-8a05-4238-a0f5-6a85cd378b8d · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:28.308721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.903407Z digest=sha256:04bc42219a7ffa20408b8618e7ce8cabd7309dc925d1cd1272a33bd8a0b2e936

Observation 97c8ab25-e1aa-450a-bd3d-505b949d75df · outbound

This paper cites бесконечно удалённой вершине.

Central measures on the r-differential version of the Young--Fibonacci graph бесконечно удалённой вершине

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:28.172972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.915604Z digest=sha256:30ddb2cf3309fb726bc695a1565fe77837cacdec0573db4e18dbc106a5e860c8

Observation 395c5047-0d02-434d-888d-091c26ddc708 · outbound

This paper cites Тогда ∀a ∈ 1, d(v), i∈ N : lim n→∞ d(vn)Y j=a g (vn, j) − i g (vn, j) = βi · d(v)Y j=a g (v, j) − i g (v, j).

Central measures on the r-differential version of the Young--Fibonacci graph Тогда ∀a ∈ 1, d(v), i∈ N : lim n→∞ d(vn)Y j=a g (vn, j) − i g (vn, j) = βi · d(v)Y j=a g (v, j) − i g (v, j)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:28.121778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.920789Z digest=sha256:2af141c7c4bd600b4aa4309cbe31afa55ea7990f962cecb81ca5809640b742e9

Observation 3b02b893-3add-4893-b0a7-5f0ba22b6e87 · outbound

This paper cites Тогда ∀a ∈ 1, d(v), i∈ N : lim n→∞ d(vn)Y j=a g (vn, j) − i g (vn, j) = 0.

Central measures on the r-differential version of the Young--Fibonacci graph Тогда ∀a ∈ 1, d(v), i∈ N : lim n→∞ d(vn)Y j=a g (vn, j) − i g (vn, j) = 0

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:28.108066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.925475Z digest=sha256:c3fef190118fbedc93adfdc5c398cf46af95cc49bf4e9e9c0ba0065f3adc31be

Observation 3f3ebaab-0530-4982-99ee-41569030ea8b · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:28.095665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.929005Z digest=sha256:5abe3e7c36e94cc710cb3356b52e1066db61c5a8e26f97939ae212f43577896d

Observation 07ab81bb-4d16-4f9a-b56b-0aebfd53150d · outbound

This paper cites Заметим, что выражение под ним всегда неотрицательное.

Central measures on the r-differential version of the Young--Fibonacci graph Заметим, что выражение под ним всегда неотрицательное

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:28.070255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.932840Z digest=sha256:a95bd18f42cdb395052d67536b1f888b7dd926b89260ca54b34fc615bf1b3547

Observation 827174d3-f0d0-487a-8c89-86e3aea15ea6 · outbound

This paper cites Тогда ∀w ∈ YF ∃µ{vn}(w) = lim n→∞ d1(ε, w) d1(w, vn) d1(ε, vn) , причём значение этого предела зависит только отw, vи β.

Central measures on the r-differential version of the Young--Fibonacci graph Тогда ∀w ∈ YF ∃µ{vn}(w) = lim n→∞ d1(ε, w) d1(w, vn) d1(ε, vn) , причём значение этого предела зависит только отw, vи β

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:27.914870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.937301Z digest=sha256:20fc200ba1936450f9ee5c8c405b4b67757156360e4d73b56e89b5b5b7064abf

Observation a75a3700-c1b7-443c-b8f9-431e2d55453f · outbound

This paper cites Тогда ∀w ∈ YF ∃µ{vn}(w) = lim n→∞ d1(ε, w) d1(w, vn) d1(ε, vn) = d1(ε, w)2 |w|! , то есть значение этого предела зависит только отw.

Central measures on the r-differential version of the Young--Fibonacci graph Тогда ∀w ∈ YF ∃µ{vn}(w) = lim n→∞ d1(ε, w) d1(w, vn) d1(ε, vn) = d1(ε, w)2 |w|! , то есть значение этого предела зависит только отw

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:27.895395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.941638Z digest=sha256:3124180feb26c249ee54a49d132bbb489bb223ce69d998c8f9efd1f7528fb702

Observation 82236ec5-a143-4b7b-9d35-edf94287a19a · outbound

This paper cites 15 Определение 3.

Central measures on the r-differential version of the Young--Fibonacci graph 15 Определение 3

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:27.879914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.946214Z digest=sha256:08fcc586dcdbc64254f5752e5b4c615eb7ab878ddfb6d62cf1e0d18f2155c4e1

Observation b40c4191-73f8-43a2-9fb4-f88c14c5b842 · outbound

This paper cites Тогда ∀w ∈ YFr ∃µ{vn}(w) = lim n→∞ dr(ε, w) dr(w, vn) dr(ε, vn) , причём значение этого предела зависит только отw, vи β.

Central measures on the r-differential version of the Young--Fibonacci graph Тогда ∀w ∈ YFr ∃µ{vn}(w) = lim n→∞ dr(ε, w) dr(w, vn) dr(ε, vn) , причём значение этого предела зависит только отw, vи β

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:27.796072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:26.951577Z digest=sha256:54fd04bfa5bdfb4e5038d2f88e69dbe7d5f96b9d1db908b28063b930bfaa7778

Observation 449810e8-9956-4864-beb4-f482fef26fa6 · outbound

This paper cites Тогда ∀w ∈ YFr ∃µ{vn}(w) = lim n→∞ dr(ε, w) dr(w, vn) dr(ε, vn) = d1(ε, w)2 |w|! · re(w) = µP (w) re(w) , то есть значение этого предела зависит только отw.

Central measures on the r-differential version of the Young--Fibonacci graph Тогда ∀w ∈ YFr ∃µ{vn}(w) = lim n→∞ dr(ε, w) dr(w, vn) dr(ε, vn) = d1(ε, w)2 |w|! · re(w) = µP (w) re(w) , то есть значение этого предела зависит только отw

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:27.738850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.034872Z digest=sha256:290200674e0622c0e90aaa790b5248dcfb19e8b39fa86cb8dd35eb35e929a503

Observation 7bf14a4b-2c59-4f75-840d-7c947f71e74e · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:27.726615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.098803Z digest=sha256:3ad4f2004eaf1896e51ac25ab3b41436565abf9c925c5b397508912c96901f3b

Observation 301c4a65-059c-4dcd-b8eb-d138b210030e · outbound

This paper cites вниз” изv1ju в w1iu. Ясно, что он име- ет вид v1ju → . . .→ 2d1ju → 2du → . . .→ w1iu при каком-то d ∈ d(v). Сопоставим ему путь “вниз.

Central measures on the r-differential version of the Young--Fibonacci graph вниз” изv1ju в w1iu. Ясно, что он име- ет вид v1ju → . . .→ 2d1ju → 2du → . . .→ w1iu при каком-то d ∈ d(v). Сопоставим ему путь “вниз

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:27.709911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.103722Z digest=sha256:b99566c08f90bfaf7d668a881acba8fe34de5a458ca184cec04ba30663ef6053

Observation 43d0e1e6-52c7-4deb-8bc5-53543c021d39 · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:27.608556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.107950Z digest=sha256:69df7473c60a7da4b10db3ca7cc34b30d1733fbfb6c159102cc834cf3f364731

Observation bef3a9bf-a178-46b7-a873-6626599f0135 · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:27.564474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.112128Z digest=sha256:ab4c96054e0aaec32bfbb5eb3bb52afe28a93a455269fd6febbd4d45c8b24d8f

Observation 64d12d86-d3d3-4306-82bf-92c801aaa618 · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:27.551260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.116630Z digest=sha256:17bf0607ca7cc5fa446397eecea45f72fdd3a025d205e1dc4adb284629130e3f

Observation ad412555-e8c0-46d3-a7a3-78f39df17f21 · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:27.538508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.120857Z digest=sha256:35658789bc8f11fced88c5fa3570bef029bb7608d738f221f3e1d7a1a7306e64

Observation 35438f39-b632-4d72-9a66-d3c64c78a8e1 · outbound

This paper cites an unresolved cited work.

Central measures on the r-differential version of the Young--Fibonacci graph Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:03:27.508074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.125572Z digest=sha256:8016722a3cbd92410df0158ed6e97153e9d03f1edf59eca05b342fb2c833136a

Observation 45f95895-b6dd-4aa5-9c85-d29f88ea5cfd · outbound

This paper cites Enumeration of paths in Young--Fibonacci graph.

Central measures on the r-differential version of the Young--Fibonacci graph Enumeration of paths in Young--Fibonacci graph

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:03:27.355492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.130565Z digest=sha256:bc93c0dad72534d3c6d35f8da8d8a38e4ea110d77ad24839f8252dd6a770e0dd

Observation 13f1346d-dfcd-4e23-9e45-90e95cc413f0 · outbound

This paper cites Gnedin and S.

Central measures on the r-differential version of the Young--Fibonacci graph Gnedin and S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:03:27.390089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.135309Z digest=sha256:2a43a4c38fa740c2f077d334b9494cfedcbb53f9c85d249fe8e542b98931ded6

Observation ad774f9f-c7a3-43c8-b2fb-7b268cb3f494 · outbound

This paper cites Ergodicity of the Martin boundary of the Young--Fibonacci graph. I.

Central measures on the r-differential version of the Young--Fibonacci graph Ergodicity of the Martin boundary of the Young--Fibonacci graph. I

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:03:27.335383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.139631Z digest=sha256:31a4befc58faea3e7cfdd67e95e5a04bdc83727f9f7d676fb67d3d19f948ff20

Observation 5d7ae2a5-6c5e-48e0-8a4a-7a93d10b2f92 · outbound

This paper cites Ergodicity of the Martin boundary of the Young--Fibonacci graph. II.

Central measures on the r-differential version of the Young--Fibonacci graph Ergodicity of the Martin boundary of the Young--Fibonacci graph. II

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:03:27.308648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:03:27.146846Z digest=sha256:78f0e3d04508af41063bf95cf9761214f1f61ae338ca19486f669f6cba7bf337

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