Pith Number

pith:YEVENA7E

pith:2014:YEVENA7EBIEBBONMGQOTSPFSU2

not attested not anchored not stored refs pending

On sets of integers with restrictions on their products

Jacques Verstraete, Michael Tait

arxiv:1404.6261 v1 · 2014-04-24 · 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{YEVENA7EBIEBBONMGQOTSPFSU2}

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	2026-05-18T02:53:17.029949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c12a4683e40a0810b9ac341d393cb2a6b8541bbd939b399acfbbca8a81884645

Aliases

arxiv: 1404.6261 · arxiv_version: 1404.6261v1 · doi: 10.48550/arxiv.1404.6261 · pith_short_12: YEVENA7EBIEB · pith_short_16: YEVENA7EBIEBBONM · pith_short_8: YEVENA7E

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/YEVENA7EBIEBBONMGQOTSPFSU2 \
  | 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: c12a4683e40a0810b9ac341d393cb2a6b8541bbd939b399acfbbca8a81884645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64fc0ed8c797e6bc2afd01b8a1a855c7e19c23d44c43685bf8b8f3274032e23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-24T20:06:58Z",
    "title_canon_sha256": "778785619a14fd7239ed2c166e62b300ecd9ced1294e991af276cf0af3a138c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6261",
    "kind": "arxiv",
    "version": 1
  }
}