Pith Number

pith:H5HQR46X

pith:2007:H5HQR46XPOUKYEUG7IWDU3MESE

not attested not anchored not stored refs pending

Cohen-Macaulay, Shellable and unmixed clutters with a perfect matching of K\"onig type

Enrique Reyes, Rafael H. Villarreal, Susan Morey

arxiv:0708.3111 v3 · 2007-08-22 · math.AC · 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{H5HQR46XPOUKYEUG7IWDU3MESE}

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	2026-05-18T04:25:11.763290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f4f08f3d77ba8ac1286fa2c3a6d8491021aea869341c0ce4b462af7a538e846

Aliases

arxiv: 0708.3111 · arxiv_version: 0708.3111v3 · doi: 10.48550/arxiv.0708.3111 · pith_short_12: H5HQR46XPOUK · pith_short_16: H5HQR46XPOUKYEUG · pith_short_8: H5HQR46X

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/H5HQR46XPOUKYEUG7IWDU3MESE \
  | 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: 3f4f08f3d77ba8ac1286fa2c3a6d8491021aea869341c0ce4b462af7a538e846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409cc812a85aeb74c402536ccdff66eff53427229536a97f6b0e122409e5ad1c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-08-22T23:45:08Z",
    "title_canon_sha256": "1f7b6156a04c9ad58841361fceb55294473a19ca821c937e82eb72009bcf1796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3111",
    "kind": "arxiv",
    "version": 3
  }
}