Pith Number

pith:YI263FVB

pith:2012:YI263FVB3CQQRGT4ZFR6KX3BUS

not attested not anchored not stored refs pending

On the Number of Unbordered Factors

Daniel Goc, Hamoon Mousavi, Jeffrey Shallit

arxiv:1211.1301 v1 · 2012-11-06 · cs.FL · cs.DM · 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{YI263FVB3CQQRGT4ZFR6KX3BUS}

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	2026-05-18T03:41:21.882393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c235ed96a1d8a1089a7cc963e55f61a4bb2927e6bd6974e80546a42b639b8f1d

Aliases

arxiv: 1211.1301 · arxiv_version: 1211.1301v1 · doi: 10.48550/arxiv.1211.1301 · pith_short_12: YI263FVB3CQQ · pith_short_16: YI263FVB3CQQRGT4 · pith_short_8: YI263FVB

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/YI263FVB3CQQRGT4ZFR6KX3BUS \
  | 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: c235ed96a1d8a1089a7cc963e55f61a4bb2927e6bd6974e80546a42b639b8f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe1550de9909b60d42ae94d6d568f91c7c40cf38d6eb43582e1030bea56f647",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-11-06T16:38:02Z",
    "title_canon_sha256": "48dd602a64fea01efb465a4d82e07f2604b71ec98416b2852cec8e4d98a1facf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1301",
    "kind": "arxiv",
    "version": 1
  }
}