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Paper Citation Record · LEDGER

Mapped Exponent and Asymptotic Critical Exponent of Words

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2506.04091.

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

pith.paper-citation-record.v1
2506.04091 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:59:33.627309Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d497bbae-d4ca-4a13-9ed8-47e5501ef88d · outbound

This paper cites an unresolved cited work.

Mapped Exponent and Asymptotic Critical Exponent of Words Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:33.809383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.579387Z digest=sha256:a90d7573c1a963c2aa0c65c8c81c2bd967241a080ad084934932ce1f7d28262b

Observation 1d197583-9282-4921-a657-810535ea18bc · outbound

This paper cites On extremal properties of the Fibonacci word.

Mapped Exponent and Asymptotic Critical Exponent of Words On extremal properties of the Fibonacci word

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.800460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.582897Z digest=sha256:92798126621ec3c652c4cdefd532360ff87e1ea187c11a66a213065d78f622f4

Observation f825ae50-06c6-41f0-b52b-dfd1fa7abfca · outbound

This paper cites For each α > 2 there is an infinite binary word with critical exponent α.

Mapped Exponent and Asymptotic Critical Exponent of Words For each α > 2 there is an infinite binary word with critical exponent α

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.791500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.586391Z digest=sha256:96b7a66199d0ebacc99d4f60d2413395ae6fc8e9913cc183db3fa8372ffb71cd

Observation 60ac4cb3-a974-41b4-8f6f-c41e1b18f0d5 · outbound

This paper cites On balanced se- quences and their asymptotic critical exponent.

Mapped Exponent and Asymptotic Critical Exponent of Words On balanced se- quences and their asymptotic critical exponent

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.783359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.589404Z digest=sha256:5adab9362f803da6ef53425b3824e164210944d4f4d5c211637b25d7bdb9e9a2

Observation 1dae53b0-68aa-4007-b5ab-b9197ad8fad8 · outbound

This paper cites Critical exponent of binary words with few distinct palindromes.

Mapped Exponent and Asymptotic Critical Exponent of Words Critical exponent of binary words with few distinct palindromes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.774328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.592671Z digest=sha256:a934afbc24b7e762889ed9bc0e27d211aba0d8e0fb9e5a77fa31459f35c28182

Observation fe33c853-c8ae-42d1-9016-ce3e2cd8fc3e · outbound

This paper cites On nonrepetitive sequences.

Mapped Exponent and Asymptotic Critical Exponent of Words On nonrepetitive sequences

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.764327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.595850Z digest=sha256:656eef65ac88b5b6f8938925d2e0dc9f9c7058c0ebd61a65e6ec8f6d89b6f37d

Observation 87197255-6296-4596-8b2a-9dd2a674a4f5 · outbound

This paper cites Uniqueness theorems for periodic functions.

Mapped Exponent and Asymptotic Critical Exponent of Words Uniqueness theorems for periodic functions

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.755273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.598992Z digest=sha256:31da2f41cc03be74fa1ac6589a278e7f21065c00f91354a751ef3248a0034408

Observation dbfbf4ca-1975-41eb-b54f-c4829213a14a · outbound

This paper cites Binary words with few squares.

Mapped Exponent and Asymptotic Critical Exponent of Words Binary words with few squares

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.746007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.602000Z digest=sha256:8b2af0aff3c782028643db9f67cdb618a7af7faaaa7216712e6ed0fed727e2dd

Observation 3c2e80dc-b080-43ce-a4ac-640cf555b545 · outbound

This paper cites On cube-freeω-words generated by binary morphisms.

Mapped Exponent and Asymptotic Critical Exponent of Words On cube-freeω-words generated by binary morphisms

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.736650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.604945Z digest=sha256:f240d4185f2f376c47d25e414d71fc51f26e9f36c216d37cf59d2551ce408583

Observation 07276768-9a97-4ed8-8423-28a918ec224f · outbound

This paper cites A defect theorem for bi-infinite words.

Mapped Exponent and Asymptotic Critical Exponent of Words A defect theorem for bi-infinite words

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.726805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.607448Z digest=sha256:2777ba1d96b62256bc98a7033cd0d898f988d86caf97347cbb49a0a3ce469b67

Observation 1ccfe346-1642-4361-a8e7-0bdadde2cd28 · outbound

This paper cites Lothaire.

Mapped Exponent and Asymptotic Critical Exponent of Words Lothaire

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.715415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.609733Z digest=sha256:2d04d6a47a747fc77955d899b8a81d64fddd7b61b5b284083e4202def955047d

Observation 6c71b5e5-7b63-45a0-a964-67662c8c3cf8 · outbound

This paper cites Lothaire.

Mapped Exponent and Asymptotic Critical Exponent of Words Lothaire

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.706309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.612855Z digest=sha256:751dfd6aad0992267634067d1f96d21a89ffa5d89ec6c048b392f3ee29d9f217

Observation e4699762-6a39-4cdc-9fcf-09228a1f125b · outbound

This paper cites an unresolved cited work.

Mapped Exponent and Asymptotic Critical Exponent of Words Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:59:33.696636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.615895Z digest=sha256:b4d4779a9e519c470d7789d51feaedae91c869c442173300ea4b8b05a32629da

Observation 89dabb90-3c8f-4ca1-9386-c3a228e45c38 · outbound

This paper cites Mapping words to powers by morphisms.

Mapped Exponent and Asymptotic Critical Exponent of Words Mapping words to powers by morphisms

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:59:33.658766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.618484Z digest=sha256:3fea5ac6ef31b10d2bf1cad7bada1156ee72d7561277ac06de6795e4f185173c

Observation c6baade7-fa1c-4e00-98cd-966935d0efbd · outbound

This paper cites Codes ` a longueur variable.

Mapped Exponent and Asymptotic Critical Exponent of Words Codes ` a longueur variable

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.686453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.621610Z digest=sha256:1e4d62aafd9dbc6c005197cfa3799007db6f19c9c1987eea09b52f57b894991f

Observation 80526a24-e0db-41fd-ac0f-dcb6cfe32769 · outbound

This paper cites ¨Uber unendliche Zeichenreihen.

Mapped Exponent and Asymptotic Critical Exponent of Words ¨Uber unendliche Zeichenreihen

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.677634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.624552Z digest=sha256:220945d2b1e1f1ad183383ab2e363f6ee453e18620a3e38f8adf36dd6191e0a6

Observation 82fb4310-cf85-4eb4-b2ef-0550cc840c8d · outbound

This paper cites Sturmian words and words with a critical exponent.

Mapped Exponent and Asymptotic Critical Exponent of Words Sturmian words and words with a critical exponent

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:59:33.668881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:59:33.627309Z digest=sha256:1cf944c866b10437bd285536046b82aff8b3b548e3be3c986493c17024f005f3

Pith citing papers

No inbound Pith citation observations are available.