Pith Number

pith:S3Y2MJ7H

pith:2013:S3Y2MJ7HSOFNQ32FNPCQMM3TRN

not attested not anchored not stored refs pending

Factorization of permutations

Chi-Kwong Li, Nung-sing Sze, Sharon H. Li, Zejun Huang

arxiv:1303.3776 v3 · 2013-03-15 · 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{S3Y2MJ7HSOFNQ32FNPCQMM3TRN}

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	2026-05-18T01:56:00.132926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f1a627e7938ad86f456bc50633738b6d993e99efb27609c4e49191930912b9

Aliases

arxiv: 1303.3776 · arxiv_version: 1303.3776v3 · doi: 10.48550/arxiv.1303.3776 · pith_short_12: S3Y2MJ7HSOFN · pith_short_16: S3Y2MJ7HSOFNQ32F · pith_short_8: S3Y2MJ7H

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/S3Y2MJ7HSOFNQ32FNPCQMM3TRN \
  | 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: 96f1a627e7938ad86f456bc50633738b6d993e99efb27609c4e49191930912b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbeff231cc268470abfedc5d39c21f8d46140a62ef7ecad577335a28d5b35c0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-15T14:01:22Z",
    "title_canon_sha256": "1d5cff80ba05119de3bf15d035012e53f17eb93ed1c58bc80ec9d0f1971cb8e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3776",
    "kind": "arxiv",
    "version": 3
  }
}