Pith Number

pith:ATG3WQXQ

pith:2014:ATG3WQXQ6F7WCOHZR2SCDMYPJJ

not attested not anchored not stored refs pending

Gaps problems and frequencies of patches in cut and project sets

Alan Haynes, Henna Koivusalo, James Walton, Lorenzo Sadun

arxiv:1411.0578 v1 · 2014-11-03 · math.DS · math-ph · math.MG · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATG3WQXQ6F7WCOHZR2SCDMYPJJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:13:16.963289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cdbb42f0f17f6138f98ea421b30f4a43315995cc67fcb2d8e690a37006e4b0

Aliases

arxiv: 1411.0578 · arxiv_version: 1411.0578v1 · doi: 10.48550/arxiv.1411.0578 · pith_short_12: ATG3WQXQ6F7W · pith_short_16: ATG3WQXQ6F7WCOHZ · pith_short_8: ATG3WQXQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ATG3WQXQ6F7WCOHZR2SCDMYPJJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 04cdbb42f0f17f6138f98ea421b30f4a43315995cc67fcb2d8e690a37006e4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab44172d3c8f965cd0f790476622d81a66ef0ea006f7311b59e3ea9febc90dcd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-03T17:44:48Z",
    "title_canon_sha256": "7b5eaac20da9a34ad44a014fcf487a4771912ceb426e281b2a1fa08124d74780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0578",
    "kind": "arxiv",
    "version": 1
  }
}