Pith Number

pith:WRJMWXAP

pith:2017:WRJMWXAPTZIU33COEKATHCELEK

not attested not anchored not stored refs pending

Hopf algebras for matroids over hyperfields

Christopher Eppolito, Jaiung Jun, Matt Szczesny

arxiv:1712.08903 v1 · 2017-12-24 · math.CO · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRJMWXAPTZIU33COEKATHCELEK}

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	2026-05-18T00:27:14.872061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b452cb5c0f9e514dec4e228133888b2299617062efd9d7000d79dcde588868a5

Aliases

arxiv: 1712.08903 · arxiv_version: 1712.08903v1 · doi: 10.48550/arxiv.1712.08903 · pith_short_12: WRJMWXAPTZIU · pith_short_16: WRJMWXAPTZIU33CO · pith_short_8: WRJMWXAP

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/WRJMWXAPTZIU33COEKATHCELEK \
  | 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: b452cb5c0f9e514dec4e228133888b2299617062efd9d7000d79dcde588868a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a9002acf781eb113b326b6d0bf3cc49ca26912eed424c6ffd27cb033002cd8a",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-24T11:02:30Z",
    "title_canon_sha256": "168edaa3d20e2872bdbd13b35ac8e5d2919cfcdca65c653119b326b4e5c58c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08903",
    "kind": "arxiv",
    "version": 1
  }
}