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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 2026-08-16T06:30:59.297886+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

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.204406Z digest=sha256:159c1b09867d5021b6ded005e7afdd8de258709e74c662aceedd654d850d6a69

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.211891Z digest=sha256:6f4d78595ee868fe45b7cbaf0e061a0dd3a5eede56dee9458250c1690014253c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.218184Z digest=sha256:901a1749dde6ab32980107a1d5e4895290b78c030f7e3f3eaf15f965b2406f45

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.225132Z digest=sha256:b7725fdb3eaf0d32c0d8d32fc4f0452d5389ab625dd91416f5c7a0d8346515c1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.230685Z digest=sha256:4b1cc14465062c078604aebc83e68bb301452bec9c39623c69d3df66f5837b36

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.237641Z digest=sha256:d8a5de30ab97aad54690c25c73d9dd289fbe682473bd6e1f34dfb65d3932576b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.244603Z digest=sha256:8b121009233429ff0a51d02ab902763ffaf3d821b95b0f707189accaf8bf861b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.250028Z digest=sha256:44c9091df5ba43ebe6f2ec0c0bc791f8e93b15882bbdb8a22208558a5cbfa65b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.255845Z digest=sha256:301da13028a7757df968b608a3f420faeee450dc059ecce8622fa6ced99848d2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.264917Z digest=sha256:7845943e44cdd1e1eb32e652448a6c3ba45798d6737ca066cb65e18ca9726df0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.270077Z digest=sha256:4a60f456811e90b8b69bd455e861b08c3a25cb2eff1025acf34a25af8ad956ac

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.276439Z digest=sha256:48ca9137cdf812adf71732e981980251189ed5c9a3f5088a5b490b4c860a7e8a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.283044Z digest=sha256:77396c7a5ae4cc9abba7a145e5fb790cea602bbd492c6de6104f0a5299280b75

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.289066Z digest=sha256:9f8c34d7eb332dc891ba9a94b111483acc4c7473f4dce4d39004319d92369712

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.294616Z digest=sha256:495b453f8e2c66985e5f338f1d2df375f94a8c7e7ae5b8422554d6060951f018

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.299928Z digest=sha256:ba7a2e19d0f567a370d120a64ed6b9c31a3ada5cff787bd942bdf61577332138

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.311283Z digest=sha256:bec0fc18487b91e3f5199d8c090f2ebf5b336ded1bab6a4257edb7457d1ec0b3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.316513Z digest=sha256:913af5bf60781f9827fc0dce34c2765d8d447191731c8a6c270f986c058ee86f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.323166Z digest=sha256:769c9dc1b29f6f366df01a089da7225e52539aaec611894ee96e75294090b7ae

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.329152Z digest=sha256:aab06191d72e0b78ee4b8dcb9e81ed8681aa8493a00bcb23da6144782d212bcd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.335834Z digest=sha256:701ea836bf964fbcf3f4dc6910cac66510f4c2adb7f3cc64646ebffacd9c62bf

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.341918Z digest=sha256:3fec871ac0c739e8e3b96bece50f66f612ab5b9e19d15ff3fd5cc4b137e2e45a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.346944Z digest=sha256:3e5a74113e871ea487a99cdde4c7374f6dad4c696487fc6fbaf86560621a03b5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.354767Z digest=sha256:1fb9777eb2db45400e10de1577f877d542e3b4c14df9a7c9049e99dc6d254eea

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.359756Z digest=sha256:5deda652a6f435297943399fbd394987859a05f99461244adc1f277888df6538

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.365795Z digest=sha256:7f521e3d93246d699e874bf9d9933e1e98d928cc01797c8e8a885a35e72f186c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.371578Z digest=sha256:47d8d849ca05faaa32e15391ac2201c147373f02a42a38fdaff62be1b157e2a1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.379246Z digest=sha256:c6034ded010ead199f54fdb98bcf3d9f4f51620d4986bb98215fab827c3c6e31

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.384633Z digest=sha256:291d5a4efd21b8e405c5e951b665a5e7ce040c7645e8195b3dfc3bf3c83f9e08

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.390639Z digest=sha256:6bcdb69acb6e4fc730e77633b1f540c5ce0e561ff56a531d8d36c6e02bbf266e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.396062Z digest=sha256:91778a5419729196933eb6af2d1b87504fd5b5bb0f544e831e17763c3ba25594

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.402193Z digest=sha256:f7acc59dcafce3a9034d2a0d4e54bd1feb9260f2b2d666a873a531caac39d085

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.409034Z digest=sha256:3ed9302d57931b00c8ae7ba00b5a2d7c747b7a4b9b79a8f96995ddedaa031092

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.416740Z digest=sha256:fde9f15619a853ab3efde5f2ce3121a38368b5e0d7fc631211b6b623635e7b44

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.423219Z digest=sha256:e767a6df95f114b896103626f3fe528fcd54d235950584660d15fe21fd31cc80

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.430259Z digest=sha256:a48ca16ad550676db300bba776f36e45c2290744915c218e805a41ed4196453f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.436708Z digest=sha256:5d677725bdd1cd9ebc344939e7334208868826748875881333a039f090267d35

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:21:37.444123Z digest=sha256:2ba465668071d2979e92bd59e55e1a5f709fcf3e3b76bc58822e1fcc51e55a2a

Pith citing papers

No inbound Pith citation observations are available.