Pith Number

pith:4BI4M7CU

pith:2011:4BI4M7CUOJVMXDP4DG2QJE54HP

not attested not anchored not stored refs pending

Boolean Representations of Matroids and Lattices

John Rhodes, Zur Izhakian

arxiv:1108.1473 v3 · 2011-08-06 · math.CO · math.AC · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BI4M7CUOJVMXDP4DG2QJE54HP}

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	2026-05-18T04:03:32.235015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e051c67c54726acb8dfc19b50493bc3becf5bc59f78b3210a0ceb33f62ca2afa

Aliases

arxiv: 1108.1473 · arxiv_version: 1108.1473v3 · doi: 10.48550/arxiv.1108.1473 · pith_short_12: 4BI4M7CUOJVM · pith_short_16: 4BI4M7CUOJVMXDP4 · pith_short_8: 4BI4M7CU

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/4BI4M7CUOJVMXDP4DG2QJE54HP \
  | 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: e051c67c54726acb8dfc19b50493bc3becf5bc59f78b3210a0ceb33f62ca2afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd161eafb718c44e8065dc7142812a53f25486aed4ae7b4f02b9de19df707afa",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-06T09:57:47Z",
    "title_canon_sha256": "7e4831e0e380c5e3636db6d5f3a808458f60c5ef210de0bce4f0181202d66280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1473",
    "kind": "arxiv",
    "version": 3
  }
}