Pith Number

pith:GOZQNDGU

pith:2013:GOZQNDGUBCJ4NKTDMTLNUSQ2QD

not attested not anchored not stored refs pending

Smith Normal Form of a Multivariate Matrix Associated with Partitions

Christine Bessenrodt, Richard P. Stanley

arxiv:1311.6123 v2 · 2013-11-24 · 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{GOZQNDGUBCJ4NKTDMTLNUSQ2QD}

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	2026-05-18T02:53:56.086052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33b3068cd40893c6aa6364d6da4a1a80f3f4a29eb9758c1a700fe01f6dfcb445

Aliases

arxiv: 1311.6123 · arxiv_version: 1311.6123v2 · doi: 10.48550/arxiv.1311.6123 · pith_short_12: GOZQNDGUBCJ4 · pith_short_16: GOZQNDGUBCJ4NKTD · pith_short_8: GOZQNDGU

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/GOZQNDGUBCJ4NKTDMTLNUSQ2QD \
  | 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: 33b3068cd40893c6aa6364d6da4a1a80f3f4a29eb9758c1a700fe01f6dfcb445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cadac926237980e2531ee8064bbcb7b15378d50db36abd4d7ee21883d4f9acc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-24T13:58:39Z",
    "title_canon_sha256": "9a6c9a29be2512ec4d593aebb3fcd12917e11743fdd53edd6744406fdd8990c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6123",
    "kind": "arxiv",
    "version": 2
  }
}