Pith Number

pith:BPTJUGJX

pith:2013:BPTJUGJXZCJSNRALMCEXT3WRUD

not attested not anchored not stored refs pending

Eulerian cube complexes and reciprocity

Richard Scott

arxiv:1309.7018 v3 · 2013-09-26 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPTJUGJXZCJSNRALMCEXT3WRUD}

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	2026-05-18T01:22:24.875115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be69a1937c89326c40b608979eed1a0e331a99761ccc6d7a12477ccb79dbe76

Aliases

arxiv: 1309.7018 · arxiv_version: 1309.7018v3 · doi: 10.48550/arxiv.1309.7018 · pith_short_12: BPTJUGJXZCJS · pith_short_16: BPTJUGJXZCJSNRAL · pith_short_8: BPTJUGJX

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/BPTJUGJXZCJSNRALMCEXT3WRUD \
  | 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: 0be69a1937c89326c40b608979eed1a0e331a99761ccc6d7a12477ccb79dbe76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc895aa6aed6049ac8eb1f2572e8bc1ebb06a987c74b43074096c6ccfdfda03c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-26T19:12:32Z",
    "title_canon_sha256": "f0a4af4b8ad0ace8f5dfc408d5a793897c24bc34d52dfcc5bda4875278474688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7018",
    "kind": "arxiv",
    "version": 3
  }
}