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Paper Citation Record · LEDGER

Geodesic growth in virtually abelian groups

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.07294.

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

pith.paper-citation-record.v1
1908.07294 v4

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:35:26.742783Z

measured 25 of 25 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

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e40de105-4acc-40d2-a639-7a9907b94497 · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:27.008955Z

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=2026-08-14T12:35:26.660156Z digest=sha256:3efd70126686f972ecc7a1910f32a077beba70fa2f4339f3040564a3df04c58e

Observation d8136e49-6a76-4d33-b2e4-de31e7f0cda4 · outbound

This paper cites Benson, Growth series of finite extensions of Zn are rational , Invent.

Geodesic growth in virtually abelian groups Benson, Growth series of finite extensions of Zn are rational , Invent

Reference 2

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raw_fallback, observed 2026-08-14T12:35:26.999552Z

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=2026-08-14T12:35:26.664284Z digest=sha256:d9ea110f788315e5faa8f6fc10641fbd8eb5b1834273eaed847b72ffbc77f476

Observation d0f41239-3e40-4f67-be06-9774a3bc985a · outbound

This paper cites Bridson, José Burillo, Murray Elder, and Zoran Šunić, On groups whose geodesic growth is polynomial, Internat.

Geodesic growth in virtually abelian groups Bridson, José Burillo, Murray Elder, and Zoran Šunić, On groups whose geodesic growth is polynomial, Internat

Reference 3

Resolution
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raw_fallback, observed 2026-08-14T12:35:26.990431Z

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 bfe4ef79-e063-4ac3-9ce1-f3fa7c0f5b72 · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:26.981321Z

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=2026-08-14T12:35:26.671511Z digest=sha256:c87d03a44de0a4bc5a02c78a4009d3d8e46da2f324090e1278f375fceacd3e38

Observation 0529297b-4c1a-4b84-9c4c-31d6a802d055 · outbound

This paper cites Algebra 303 (2006), no.

Geodesic growth in virtually abelian groups Algebra 303 (2006), no

Reference 5

Resolution
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raw_fallback, observed 2026-08-14T12:35:26.972319Z

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=2026-08-14T12:35:26.675037Z digest=sha256:cf48035bc322b05acc9dac209bc19ace0aa84996f282710d600809d9c727aad8

Observation a6765cf3-3767-407b-a7d9-36b12e0ceb3e · outbound

This paper cites MR1786 869.

Geodesic growth in virtually abelian groups MR1786 869

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:26.963259Z

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=2026-08-14T12:35:26.678445Z digest=sha256:e6fe134a1e4e1648fea6546e7ff5ab522ee6cd5bd5a8aadee7cb3e1c10e098e7

Observation 1f6c92de-1293-4aef-b5b0-ad3666cf010b · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:26.952390Z

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=2026-08-14T12:35:26.682097Z digest=sha256:6d3f08a850a4d8fb87957895cbef74eff2729b326418ae5dc6d1b0fb8e7d231e

Observation c299f873-f1d7-4703-ac8f-356f75e6b3f3 · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:26.942855Z

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=2026-08-14T12:35:26.685284Z digest=sha256:3a6655c18db4bec896d250785fb5382ea109b5e64cd4d9c446101b19041d71eb

Observation 1a64c146-3a16-435a-8aba-308881638917 · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-14T12:35:26.933532Z

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=2026-08-14T12:35:26.688421Z digest=sha256:b614744faba0132f21d6959e35916c40969d07042fb95670e41d58921875208d

Observation 345ecf13-a174-4c9c-8ccf-cd1ba214df13 · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:26.923642Z

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=2026-08-14T12:35:26.691571Z digest=sha256:0feae79d603f61f901344bab2a2fe93984df4050ba7ae7c104fcbeffdf3a6e31

Observation 590a77da-297a-4173-9c0c-8edda79a7c84 · outbound

This paper cites Fekete, Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten , Math.

Geodesic growth in virtually abelian groups Fekete, Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten , Math

Reference 11

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raw_fallback, observed 2026-08-14T12:35:26.914224Z

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 f8e40797-96dd-48da-80bb-4df4ed367b31 · outbound

This paper cites MR2483235.

Geodesic growth in virtually abelian groups MR2483235

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:26.905122Z

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=2026-08-14T12:35:26.698300Z digest=sha256:be85a2ff7ef2efaf684fef42027e976e8f38315147575e0a0bcb40735407779b

Observation 58591859-aa30-46ec-bd7d-ef6b8dc43c3f · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:26.895637Z

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=2026-08-14T12:35:26.701327Z digest=sha256:970597772274a01c66ca40c4720ff4119e1ff097ae79a6193cbbc9a91ab01109

Observation b7b04cfe-2172-42b2-918d-64937cecaf9c · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:35:26.885801Z

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=2026-08-14T12:35:26.705476Z digest=sha256:1ddac1ae58ee93d2497848ac6fabc1fbf276901453a445f9213c29eefe13406d

Observation df7744f1-fb21-4b56-9d98-7aa26b110c00 · outbound

This paper cites Gromov, Hyperbolic groups, Essays in group theory, 1987, pp.

Geodesic growth in virtually abelian groups Gromov, Hyperbolic groups, Essays in group theory, 1987, pp

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:26.876393Z

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=2026-08-14T12:35:26.708793Z digest=sha256:de9a698ede0a8266c0c77bcd228bc362f0280083748e7b862e9d85664a04030b

Observation 81c3f75e-938e-4b04-9eb1-dafdfe162b66 · outbound

This paper cites Hautes Études Sci.

Geodesic growth in virtually abelian groups Hautes Études Sci

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:26.867097Z

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=2026-08-14T12:35:26.711591Z digest=sha256:a558f0c9ed6372ddb01980fb31186e77f09b4b25c0fff52b827f1070479175f3

Observation a189ad38-9603-439d-843c-da2cc736d3a6 · outbound

This paper cites Lipshitz, D-finite power series , J.

Geodesic growth in virtually abelian groups Lipshitz, D-finite power series , J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:26.857293Z

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=2026-08-14T12:35:26.715408Z digest=sha256:a9d4cce9ac2d95cd310a8d56c70723356cf69d843f5a021f7ade6780ce05bd80

Observation 36112ae8-0a67-45a8-a2f9-ea79c2f7557d · outbound

This paper cites 395, Cambridge University Press, Cambridge, 2012.

Geodesic growth in virtually abelian groups 395, Cambridge University Press, Cambridge, 2012

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:26.847270Z

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=2026-08-14T12:35:26.718910Z digest=sha256:95fe4b359f04b8719708e0a69e770a43b1c5a2bb1c38b0672266ccf461416c8a

Observation 90c655fd-16d4-4583-b34e-5b0fa9b8734a · outbound

This paper cites Massazza, Holonomic functions and their relation to linearly constra ined languages, RAIRO Inform.

Geodesic growth in virtually abelian groups Massazza, Holonomic functions and their relation to linearly constra ined languages, RAIRO Inform

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:26.837029Z

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=2026-08-14T12:35:26.722371Z digest=sha256:da1bdec5176518cdaa878ba93a1b802865ea532cf80f2e8caef65bcf87ea48ce

Observation bd12e94d-2b19-4434-920d-33573e7cc31f · outbound

This paper cites Muller and Paul E.

Geodesic growth in virtually abelian groups Muller and Paul E

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:35:26.825993Z

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 492d3f2c-885b-4a75-b493-02e095df5a02 · outbound

This paper cites 117, American Mathematical Society, Providen ce, RI, 2005.

Geodesic growth in virtually abelian groups 117, American Mathematical Society, Providen ce, RI, 2005

Reference 21

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raw_fallback, observed 2026-08-14T12:35:26.814919Z

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 c896c379-9598-43d1-821e-7bb38deafab1 · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 22

Resolution
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raw_fallback, observed 2026-08-14T12:35:26.803893Z

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 9c342382-4a70-4ab4-9cd5-50cd889af3e2 · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 23

Resolution
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raw_fallback, observed 2026-08-14T12:35:26.793768Z

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=2026-08-14T12:35:26.735337Z digest=sha256:8f6a806f51acc3033aff346b92698213eb36570c8fd7b331c6ae60a9e3fb1a38

Observation 87bc4f85-6e53-4a01-93a0-554c93adff87 · outbound

This paper cites an unresolved cited work.

Geodesic growth in virtually abelian groups Unresolved cited work

Reference 24

Resolution
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raw_fallback, observed 2026-08-14T12:35:26.783492Z

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=2026-08-14T12:35:26.739313Z digest=sha256:019cde3c6a74aa9d4ed14956a4a3514a1f4c8f02702dc7a4efb1b0c43b4db06f

Observation fabe4d6b-7d0f-4018-bc69-0b77a16c8379 · outbound

This paper cites XIV, Interscience Publisher s John Wiley & Sons, Inc., New York-London-Sydney, 1965.

Geodesic growth in virtually abelian groups XIV, Interscience Publisher s John Wiley & Sons, Inc., New York-London-Sydney, 1965

Reference 25

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raw_fallback, observed 2026-08-14T12:35:26.773393Z

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.