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Paper Citation Record · LEDGER

Modular Construction of Free Hyperplane Arrangements

As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.01535.

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

pith.paper-citation-record.v1
1908.01535 v4

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:21:37.444123Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

38 of 38 outbound references displayed

  • verified exact7
  • verified fuzzy6
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 78c3914d-3401-4620-a96e-0c5f55ebdf87 · outbound

This paper cites Divisionally free arrangements of hyperplanes.

Modular Construction of Free Hyperplane Arrangements Divisionally free arrangements of hyperplanes

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:21:37.835411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.204406Z digest=sha256:5f6a12c7ff01c27a9e36adbffcb48d0b824ca096947845bb90b7906ca7091786

Observation 97efa9a4-7c4c-4bb8-ad15-61ca7223b7a4 · outbound

This paper cites Restrictions of free arrangements and the division theorem.

Modular Construction of Free Hyperplane Arrangements Restrictions of free arrangements and the division theorem

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:21:37.807678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.211891Z digest=sha256:33569c029021e6b788990be004965030b92c15cc17df72e772cf2584f5e97fa5

Observation 36a20ca0-8094-4610-91f7-4cd173da2498 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.446390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.218184Z digest=sha256:e36e57efb1fcfbc4a1d283cb2231d1b1c3f9fd37f1ffd65a14e436fa3d0551c4

Observation 32257f13-77eb-4ccd-80bf-d1b8c7b83e93 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.428556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.225132Z digest=sha256:17dafdc59aed67307f01b04aca1fdbc4e80cea550a404da671a32670c94a2a16

Observation d9910d4b-5652-4a51-a9b5-7c7588a8efc6 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.406143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.230685Z digest=sha256:8b26b7ca2fc46917661c8dbca5d7b6800ab7e22a28ee8f09e637716197034141

Observation da353a67-c778-4891-a233-b4bfc08ba93a · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.388472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.237641Z digest=sha256:a875681b175abba95328c5e44fdf8381f726a9d8ebcdfe37f91b74625fa6f702

Observation ebd484a7-daf6-4ca2-b784-d18369c17279 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.370034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.244603Z digest=sha256:7ba5604c5119052c51719e4fc535eb61b1f6677108289371cf61a2ce2d0ed989

Observation 62e6ec98-d5b2-4388-839d-a86b49411467 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.350685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.250028Z digest=sha256:87d76346348542877943b93d754ec51d4f46427bd36b32d705b965e3c2e1cb8d

Observation d53f715b-bb6f-410a-846c-51bb8400fc9f · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.330573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.255845Z digest=sha256:e6141b642703e6f4aa4f359c25e14af7a812575ac4d71b5343cb372ee1337a1a

Observation bdad42a9-f4d0-4c60-8d05-5a4e54ce2766 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.307053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.264917Z digest=sha256:fcf08bde8d646ffb3c2ce1011d6ef20562826f37c99796fa6943963b2e147ab2

Observation e528e04f-0797-4975-afd3-2df78f157dd4 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.284889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.270077Z digest=sha256:e30541e570e39cd4f037264b6f736170dab85f4a421d58d73a810689b4389a4b

Observation 47022298-72c7-41ae-87fa-a9bbfdbe7445 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.266000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.276439Z digest=sha256:bc6de2189ff06c5e458180dfc952623aed3f70491ecdc3c76e3d042369e1a746

Observation 36dff7db-8ea5-48bd-b442-c9a5a6a3f197 · outbound

This paper cites Supersolvable frame-matroid and graphic-lift lattices.

Modular Construction of Free Hyperplane Arrangements Supersolvable frame-matroid and graphic-lift lattices

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:21:38.247126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.283044Z digest=sha256:a4b74bac8722236e89277afb77c394bbd91d88a86978f9b12c4d48abceb2fd7c

Observation 1ef2a1cb-658d-4186-81b0-aaba72681f56 · outbound

This paper cites Dedicata 21 (1986), 85–105.

Modular Construction of Free Hyperplane Arrangements Dedicata 21 (1986), 85–105

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:21:38.229779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.289066Z digest=sha256:04705e255a49e21eaf7cf5865522a20686e16dc935b81becf69827aa6afcb8c2

Observation 79d837f1-99ed-4fba-8dde-32c9106a1c89 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.210973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.294616Z digest=sha256:e2b4d171f22121fd9d85c53f3e7b4db5c122c7c4ab693fa678dbad3687e8905d

Observation e99a6186-94e0-4781-8685-06626dcc10dc · outbound

This paper cites Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species.

Modular Construction of Free Hyperplane Arrangements Enumeration of Flats of the Extended Catalan and Shi Arrangements with Species

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:21:37.781677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.299928Z digest=sha256:41ceb8956a35adad1963929b7eb7f5259c9534c0b72d6dcfbd6507e04d25d107

Observation 69a049da-97e7-41b4-bac4-956554cf6fae · outbound

This paper cites 300, Springer-Verlag, Berlin, 1992.

Modular Construction of Free Hyperplane Arrangements 300, Springer-Verlag, Berlin, 1992

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:21:38.192686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.311283Z digest=sha256:e867d1f022f117bb12471aeeb452df250f4658276f8d92a4ac8ee1d208bff31a

Observation 2c0b4120-82dd-4f87-84ba-73d62794cda9 · outbound

This paper cites 21, Oxford University Press, Oxford, 2011.

Modular Construction of Free Hyperplane Arrangements 21, Oxford University Press, Oxford, 2011

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:21:38.172981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.316513Z digest=sha256:87e2ce56d3538168874157b4090de83ead4f69094f5297163968b231364e76f9

Observation 8c8a96b2-af66-4d26-b999-b193773eefe2 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 19

Resolution
verified exact
raw_fallback, observed 2026-08-14T15:21:37.756027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.323166Z digest=sha256:52bd454810981ce6b7d64a119c13b7519c9046e031ce1b46d245573abbab4d29

Observation edf633d1-b12d-4cea-bf96-a6638210bf7d · outbound

This paper cites Thesis, Victoria University of Wellington, 2018.

Modular Construction of Free Hyperplane Arrangements Thesis, Victoria University of Wellington, 2018

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:21:38.148705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.329152Z digest=sha256:af0a034c521a29160503d5c7a8f46081bcfea950cff6d0bf20d674b377037c6d

Observation d98629d1-4f79-4f03-9afb-cecbe40168f4 · outbound

This paper cites 287, Res.

Modular Construction of Free Hyperplane Arrangements 287, Res

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:21:38.128310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.335834Z digest=sha256:a8f48b12f5f5a5ebcecc9ff4a836137bdae969ff97ae7215c8f1d9b1d045c260

Observation e1d15fcf-e35b-4c54-86a8-0f873aa8677a · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.104107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.341918Z digest=sha256:91dad5a0c4f3ccbc7c809e2e82a9b3c8b2ed0b97999ded3e0d980d0731b7171e

Observation e9c92d4e-b56b-46b8-8264-c05169bac3ce · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.083981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.346944Z digest=sha256:ceabec0a0fcafbdca84a1f8b3c673ef15ec8005692ea19d25fd22ba907f01b49

Observation b86a04bc-f693-49e6-9aee-cbd90789bcdd · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.064967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.354767Z digest=sha256:e19bbf73cc41db9f3d659b233eb81b3a3cfe55c2c6e653b6286e640b1e11744e

Observation 58f32187-e2e6-4f07-908c-93a0616c683f · outbound

This paper cites Signed graphs and the freeness of the Weyl subarrangements of type $B_{\ell}$.

Modular Construction of Free Hyperplane Arrangements Signed graphs and the freeness of the Weyl subarrangements of type $B_{\ell}$

Reference 25

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T15:21:37.681329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.359756Z digest=sha256:4957177968f690594b60ab45eaaa25d8679e002074b7628da7e93d04300aacee

Observation cf6fc7af-a92f-4900-b2bb-8d19faaf96c5 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.044854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.365795Z digest=sha256:119354e9c41cf5d44c17d6a8aef020ab561e8c1449870f26bb6989f3171de4e6

Observation 832c6477-e5ba-4184-b0cd-1a580b76b85a · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.022064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.371578Z digest=sha256:77d2751d8c506cfaeda978110596dacd85af1a9e24035e931a7041535745ee89

Observation 0ec4ac61-83ed-477e-a6b8-8cb2f0c040a5 · outbound

This paper cites Free hyperplane arrangements over arbitrary fields.

Modular Construction of Free Hyperplane Arrangements Free hyperplane arrangements over arbitrary fields

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:21:37.656538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.379246Z digest=sha256:0234c413a7ef9830ca8309631e202d035b7d5e5807be3cba0315ea2c3464a4ce

Observation 619ccf4a-c7b4-4684-9c81-e77b86dc1885 · outbound

This paper cites Freeness of Hyperplane Arrangements between Boolean Arrangements and Weyl Arrangements of Type $ B_{\ell} $.

Modular Construction of Free Hyperplane Arrangements Freeness of Hyperplane Arrangements between Boolean Arrangements and Weyl Arrangements of Type $ B_{\ell} $

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:21:37.631277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.384633Z digest=sha256:d57e76886809240bb8e29c16a53eddfbe11d946e5528e4f6a94a89aa5e7793bc

Observation 910a84d9-33b0-4de9-a7bd-1754ce21b6df · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:38.002832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.390639Z digest=sha256:48f59e8fa04b982c740b3ad62e5b5e2714eff618b7ada94057e7c69ca4c3968d

Observation 3e9d7ae1-28ec-4c50-ab23-c482e40487bb · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:37.983994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.396062Z digest=sha256:2fecc65b90f68da9bf908b569fbe9b7f183d1b4d753db9121a2653f70c1b6cd6

Observation d4ac379e-8ec6-4637-b14a-1b480aab0d1a · outbound

This paper cites Japan Acad.

Modular Construction of Free Hyperplane Arrangements Japan Acad

Reference 32

Resolution
verified exact
raw_fallback, observed 2026-08-14T15:21:37.593421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.402193Z digest=sha256:e2e16b96b0a32cb1675127ac16bc00023412f99ae7b6e43491d0822d60ea2299

Observation dc9235a3-a9b0-4e74-8598-0166d3964627 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:37.965307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.409034Z digest=sha256:63a0f059d0666118cd6cd9e0112d502ba73fcdc407dc13f5a83d1537bffbd88a

Observation e1dd3c51-a3ec-48b4-9fda-148ef838b11c · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:37.947362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.416740Z digest=sha256:18a6944e6f35f70e3cd1b50463944efddb6779a3c51914805c45230a441575f1

Observation b827f019-aed0-40ad-8081-6abbd0d77224 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:37.928558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.423219Z digest=sha256:3504f3e59b7bf046bf03cfbe8abefbf54746881422a74daf8607468d28fd3aeb

Observation e380857a-5543-4067-80bb-4d76508b5d23 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:37.907446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.430259Z digest=sha256:b4fe9e6f528d1943cff42066ca9e3577d939970d4830d024f90502f792458b52

Observation 005d3012-7db3-4ce9-928b-d3a8cb0bae2f · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:37.881701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.436708Z digest=sha256:5ae072e8bc4c8bbb26080c62c841b7cb70f496e50d6819bfb5f5b7be4749579a

Observation dbb628a5-aedb-4bc0-aa78-066f6725fbb4 · outbound

This paper cites an unresolved cited work.

Modular Construction of Free Hyperplane Arrangements Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:21:37.858773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T15:21:37.444123Z digest=sha256:29d8589ececdd818d241f0d388106767c6f9a5ee77f8738445ace430152241a9

Pith citing papers

No inbound Pith citation observations are available.