Pith Number

pith:OW3B2QGR

pith:2015:OW3B2QGR6WD65UZVC3A5BFY27L

not attested not anchored not stored refs pending

Notes on a theorem of Naji

Lorenzo Traldi

arxiv:1507.00593 v4 · 2015-07-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OW3B2QGR6WD65UZVC3A5BFY27L}

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	2026-05-18T00:34:24.962680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b61d40d1f587eed33516c1d0971afac0fa726c3bb0021feb78a3c06d573351

Aliases

arxiv: 1507.00593 · arxiv_version: 1507.00593v4 · doi: 10.48550/arxiv.1507.00593 · pith_short_12: OW3B2QGR6WD6 · pith_short_16: OW3B2QGR6WD65UZV · pith_short_8: OW3B2QGR

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/OW3B2QGR6WD65UZVC3A5BFY27L \
  | 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: 75b61d40d1f587eed33516c1d0971afac0fa726c3bb0021feb78a3c06d573351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ba6c07f791e1899ab147b0e793fc27534a72d8536ca9f22f3797ba20fb642a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-02T14:14:37Z",
    "title_canon_sha256": "6086e3c6db7688ad92fab1caa815d957ab303f499fafc26d7ba3936453d10a7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00593",
    "kind": "arxiv",
    "version": 4
  }
}