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Paper Citation Record · LEDGER

Fertility fibres and coproduct coefficients in the LOT Hopf algebra

As of 11 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2605.05542.

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

pith.paper-citation-record.v1
2605.05542 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T08:35:47.193361Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

30 of 30 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved8
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 704fe94d-0c4d-4320-84fe-bc9cc0da491b · outbound

This paper cites an unresolved cited work.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-26T16:48:04.880710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:33a283f44aae9a79ee8a0e8e023719fc385bb16cfd7047d178c1f676c02b43e1

Observation af20bad0-dee5-4b52-b89b-04655e121441 · outbound

This paper cites Bergeron, G.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Bergeron, G

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.877469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:6a29024bfc87ba5fd99a51ee4a16a1fe7c164729896c96b6c06506e34bf6b04c

Observation ad035bf8-f003-484f-8872-fdb527ddc871 · outbound

This paper cites Brouder, Runge–Kutta methods and renormalization, Eur.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Brouder, Runge–Kutta methods and renormalization, Eur

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.883415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:6c642f9e39c6d1f634b429ffc8b3649f8fbb7301b9272fd67c0276de0d39ce62

Observation 8a24b88e-88e7-43d9-aead-4221b387bc68 · outbound

This paper cites Bruned, K.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Bruned, K

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.886169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:28272f4313057de48d681b75ad6d6e69bdb4f7dcaffb904a6a483b03249f980f

Observation 6da2f4bb-869f-48d6-96ae-69e6520d9dc1 · outbound

This paper cites Bruned, M.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Bruned, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.891985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:cf9cafd3b7adee2e04949995454b430e78c940e417af723b866ed88f8d03c20a

Observation c9fb1ed3-ec28-4a3d-aa22-38bc31937454 · outbound

This paper cites Bruned and Y.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Bruned and Y

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.867101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:82a7827bcd2e5d0f8c1d109d76329e17bc8595faf99b32df59940058a7bc57b9

Observation 8c8c1d01-4f3a-4773-8d90-a2c3c0a1b302 · outbound

This paper cites Bruned and P.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Bruned and P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.873834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:f06443509cfea70d658c33155a1adb76dba34e95511e0e3ed9a01015c19e32fa

Observation d2cb2579-2517-4ebe-84fb-e99c0974cd32 · outbound

This paper cites an unresolved cited work.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-26T16:48:04.864028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:d32c2631883dea1013341a7f2e5976b5287561c9434e0c2f74c0d0d9a20312e9

Observation 88e2189f-f2f6-460e-8726-c52bed5177c1 · outbound

This paper cites an unresolved cited work.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-26T16:48:04.861195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:1e448846b670c8c3f3a14f1fb0603827c84f412b006c4e67552a5d48cc3ff73b

Observation 0868ab2a-ed6b-4263-aa2d-f04804f66080 · outbound

This paper cites Calaque, K.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Calaque, K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.870704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:d15f57f40970641e4d9922f86e80aa6cbcb939a39f39fd956a2ae467476d0849

Observation f2bf1bad-4b89-4263-8420-7d332af12f98 · outbound

This paper cites Chapoton and M.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Chapoton and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.894706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:43682b9180e1bf56eb8365aec41fa3287afaca3ae02a007f90ceff6f07b1159c

Observation 0bcaff72-cd6b-4882-8629-8f12857cf58a · outbound

This paper cites Connes and D.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Connes and D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.842146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:b8720a146b04ff958d5971775cf843cb5a75ca3fbc5964377466771dff76a295

Observation e896fbeb-9c05-4630-8aec-1b8d3273152a · outbound

This paper cites Dzhumadil’daev and C.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Dzhumadil’daev and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.845735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:0887f681a3163a24afe6dd05064feb71da3df5b41556452a832ec2cb32a05dd0

Observation 21f35f69-7d19-4e2f-bbe0-b4573c106896 · outbound

This paper cites an unresolved cited work.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-26T16:48:04.848685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:8b21be2826a297da4e3a5d90239eedd6db69b0b95bce1e27ff217147ffbe85b9

Observation abfb0488-88c8-4b36-b527-e1494467db40 · outbound

This paper cites Foissy, Les alg `ebres de Hopf des arbres enracin´es d´ecor´es, I and II, Bull.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Foissy, Les alg `ebres de Hopf des arbres enracin´es d´ecor´es, I and II, Bull

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.828941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:4a481bed1ca82508941e865fb17b37c56cce6ab0bafa088b2f479c440d7dbc88

Observation 711a0632-e833-44e6-8206-fe72d8abcba7 · outbound

This paper cites Grossman and R.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Grossman and R

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.838829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:c24ed65329edff8eef5922c150f1f5a899d5db021dfbf87c191c8677e988782d

Observation a8a4e580-7046-4812-b655-1e29ca2fb585 · outbound

This paper cites Gubinelli, Ramification of rough paths, J.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Gubinelli, Ramification of rough paths, J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.821196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:a2e819c74d66d70652d9502628c5fd5f2379a6ac35c7733635fe4a334384aace

Observation 4ebd7c4b-1c71-460b-8aaa-21aefb8815fc · outbound

This paper cites Guin and J.-M.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Guin and J.-M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.825496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8eab108f-e903-46a7-a439-4025265ae234 · outbound

This paper cites Hairer, A theory of regularity structures, Invent.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Hairer, A theory of regularity structures, Invent

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.835443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:0e1f6545f3a2153372e58acd01d67a54a4b69406dd6ee495e8528b9830fe40dd

Observation 9cfd6f9c-8ea4-4bcd-9841-88c3c14168a6 · outbound

This paper cites an unresolved cited work.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-26T16:48:04.851636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:4d938b96cc722de0bc76747a35cdd102469c08957079dea28ac0e9fc9d0d54f3

Observation ecab608c-026a-44e5-bdc2-ac455536d3f1 · outbound

This paper cites Insertion pre-Lie products and translation of rough paths based on multi-indices.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Insertion pre-Lie products and translation of rough paths based on multi-indices

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-11T20:31:14.795557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:6c1bebdb6dfd88b696dbf0e388ae7f18be9dd13175ad4a5ba9ab97eaa3946ca6

Observation 21251c40-cf81-4e53-ace3-43a90582cec8 · outbound

This paper cites Linares, F.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Linares, F

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.889299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:500ca2c322c3f9674dbaa99aa5ca8c9d9df2f76ce6fc990e23e2b6231535d2e0

Observation bcf38b9e-a624-434f-9d2c-cc9a53ac07ea · outbound

This paper cites Lyons, Differential equations driven by rough signals, Rev.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Lyons, Differential equations driven by rough signals, Rev

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.873474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:603e33e9a0e6dfca614d4cb75be8066affe3bd62284d7d2bb4bfe1dac8b59de9

Observation 5c3ed420-84a1-43aa-bf33-68e88c6faa02 · outbound

This paper cites Lyons, M.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Lyons, M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.858148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:5b3c5e9c74433eadd4552f5b83e452fdad05283b781f7d55809affd054b50eda

Observation 9c073d3d-73b7-4d46-bd76-e5792b72d89f · outbound

This paper cites Lyons and N.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Lyons and N

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.897380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:80bf5cc9d8174fcaa97a1b381ad6d27e474e6bdbea1d5f435aa9e6e55889bdc6

Observation ea2d4080-0570-4c29-bba4-b77a7d200ae6 · outbound

This paper cites Manchon, A short survey on pre-Lie algebras, in Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory, Eur.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Manchon, A short survey on pre-Lie algebras, in Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory, Eur

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.900340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:26ca82b862f8980d12cd7f47fc9045920daca792c4f51fe9aee690b5c5b09d31

Observation 4e08db36-a8a9-485e-bd31-dd5a8d935080 · outbound

This paper cites an unresolved cited work.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-05-26T16:48:04.846035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:c944e2d7ffe3bbaf5f27fb420a5e39c2c88953e6470686a6c8cb5f2ca2b71557

Observation ba81a826-310d-45ef-aeb7-7339a1326208 · outbound

This paper cites an unresolved cited work.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-05-26T16:48:04.852899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:666819d0a7582a48e7ab8dbad543135d69141dfac51bf9a38e771c6fa49593fa

Observation 03285227-df84-472f-a465-37364757bcc4 · outbound

This paper cites Pr ¨ufer, Neuer Beweis eines Satzes ¨uber Permutationen, Arch.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Pr ¨ufer, Neuer Beweis eines Satzes ¨uber Permutationen, Arch

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T16:48:04.863395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:62dfbdd7e40f92187d0684ebac9d4037a17cf8f3240d043093e95aacbc725b08

Observation f0e5eecf-f32b-4465-97a2-ad842cc9f4b1 · outbound

This paper cites an unresolved cited work.

Fertility fibres and coproduct coefficients in the LOT Hopf algebra Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-05-26T16:48:04.870043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T08:35:47.193361Z digest=sha256:83255ed795f46c0d90d9700734c36c391d1559ab1dc45269751e6bc36d5bcada

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