Pith Number

pith:4U7Z5MPH

pith:2009:4U7Z5MPH3RMDCCEB3CAFXQWVSU

not attested not anchored not stored refs pending

Trace Diagrams, Matrix Minors, and Determinant Identities

Elisha Peterson, Steven Morse

arxiv:0903.1373 v2 · 2009-03-07 · 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{4U7Z5MPH3RMDCCEB3CAFXQWVSU}

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	2026-05-18T04:34:37.389787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e53f9eb1e7dc58310881d8805bc2d5950a7e973f6ddd7ab10c82f03c06a70811

Aliases

arxiv: 0903.1373 · arxiv_version: 0903.1373v2 · doi: 10.48550/arxiv.0903.1373 · pith_short_12: 4U7Z5MPH3RMD · pith_short_16: 4U7Z5MPH3RMDCCEB · pith_short_8: 4U7Z5MPH

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/4U7Z5MPH3RMDCCEB3CAFXQWVSU \
  | 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: e53f9eb1e7dc58310881d8805bc2d5950a7e973f6ddd7ab10c82f03c06a70811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec86bbf9a2477318f800eb8a0b3b6981e78abafb649112068e26b2945c1141da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-07T22:35:13Z",
    "title_canon_sha256": "8e4537381d8cd5c95a12c107335d3cfe27786374142b8b515cea433c46c85799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1373",
    "kind": "arxiv",
    "version": 2
  }
}