Pith Number

pith:6G5ILWKL

pith:2015:6G5ILWKLWE6WJN2NDOAU4IATAK

not attested not anchored not stored refs pending

Symmetric matrices, Catalan paths, and correlations

Bernd Sturmfels, Emmanuel Tsukerman, Lauren Williams

arxiv:1511.04125 v1 · 2015-11-12 · math.CO · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6G5ILWKLWE6WJN2NDOAU4IATAK}

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	2026-05-18T01:26:59.616898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ba85d94bb13d64b74d1b814e201302a81c45581df7125ee00ece04fe7eef70

Aliases

arxiv: 1511.04125 · arxiv_version: 1511.04125v1 · doi: 10.48550/arxiv.1511.04125 · pith_short_12: 6G5ILWKLWE6W · pith_short_16: 6G5ILWKLWE6WJN2N · pith_short_8: 6G5ILWKL

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/6G5ILWKLWE6WJN2NDOAU4IATAK \
  | 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: f1ba85d94bb13d64b74d1b814e201302a81c45581df7125ee00ece04fe7eef70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6859bea740c295cea3133473f13c7be35125d4a8ca11ab95c36272e02f2e597",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-12T23:33:59Z",
    "title_canon_sha256": "4bcab8922be8bf64b0312431c79ef4b52058c0901b19bfd570a2af5fbbd2519d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04125",
    "kind": "arxiv",
    "version": 1
  }
}