Pith Number

pith:SMHOK5FN

pith:2005:SMHOK5FN7JUHKCSFVWHS5UMEFO

not attested not anchored not stored refs pending

Factorizations of Polynomials over Noncommutative Algebras and Sufficient Sets of Edges in Directed Graphs

Israel Gelfand, Robert Lee Wilson, Sergei Gelfand, Vladimir Retakh

arxiv:math/0509260 v1 · 2005-09-12 · math.QA · 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{SMHOK5FN7JUHKCSFVWHS5UMEFO}

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	2026-07-04T16:56:39.450758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

930ee574adfa68750a45ad8f2ed1842bb00c28ef8f5a74e69642307cab480d7d

Aliases

arxiv: math/0509260 · arxiv_version: math/0509260v1 · doi: 10.48550/arxiv.math/0509260 · pith_short_12: SMHOK5FN7JUH · pith_short_16: SMHOK5FN7JUHKCSF · pith_short_8: SMHOK5FN

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/SMHOK5FN7JUHKCSFVWHS5UMEFO \
  | 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: 930ee574adfa68750a45ad8f2ed1842bb00c28ef8f5a74e69642307cab480d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11757c8de93c7a0d449e10d0dc110dff356fea3d249e70976252202fba548e0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-09-12T18:26:39Z",
    "title_canon_sha256": "658a9575b2481547cd24470d5f0fb6056234d4602d3618d5293aded467f3b986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509260",
    "kind": "arxiv",
    "version": 1
  }
}