Pith Number

pith:P4VRDB3T

pith:2013:P4VRDB3TLY74NDMUDXF2URNGO2

not attested not anchored not stored refs pending

Ore Polynomials in Sage

Fredrik Johansson, Manuel Kauers, Maximilian Jaroschek

arxiv:1306.4263 v1 · 2013-06-18 · cs.SC · 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{P4VRDB3TLY74NDMUDXF2URNGO2}

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	2026-05-18T03:20:36.631568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2b1187735e3fc68d941dcbaa45a676bd1792b9654f4ed7d25c0fe4794126cf

Aliases

arxiv: 1306.4263 · arxiv_version: 1306.4263v1 · doi: 10.48550/arxiv.1306.4263 · pith_short_12: P4VRDB3TLY74 · pith_short_16: P4VRDB3TLY74NDMU · pith_short_8: P4VRDB3T

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/P4VRDB3TLY74NDMUDXF2URNGO2 \
  | 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: 7f2b1187735e3fc68d941dcbaa45a676bd1792b9654f4ed7d25c0fe4794126cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b651e99c985686dc04211a01eab0535ff5196ddb6aa0dddc24be1613d8469be5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2013-06-18T16:34:18Z",
    "title_canon_sha256": "eefeff82551da55197768f4c6634a65a7029bc7d0aa1eeb0b5033afa429034d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4263",
    "kind": "arxiv",
    "version": 1
  }
}