Pith Number

pith:CMVUPVLY

pith:2013:CMVUPVLYF3TXAE5FHJ6XSAPFI6

not attested not anchored not stored refs pending

On hypergraph cliques and polynomial programming

Cheng Zhao, Qingsong Tang, Xiangde Zhang, Yuejian Peng

arxiv:1312.6973 v1 · 2013-12-25 · 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{CMVUPVLYF3TXAE5FHJ6XSAPFI6}

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	2026-05-18T03:03:46.262076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132b47d5782ee77013a53a7d7901e5478674fe5084f714ee5d09c3346e7ebb04

Aliases

arxiv: 1312.6973 · arxiv_version: 1312.6973v1 · doi: 10.48550/arxiv.1312.6973 · pith_short_12: CMVUPVLYF3TX · pith_short_16: CMVUPVLYF3TXAE5F · pith_short_8: CMVUPVLY

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/CMVUPVLYF3TXAE5FHJ6XSAPFI6 \
  | 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: 132b47d5782ee77013a53a7d7901e5478674fe5084f714ee5d09c3346e7ebb04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38378ced82558c0b160aa90e7477e77a4de2c50d19c5d231b3c97a1561c42fcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-25T13:45:48Z",
    "title_canon_sha256": "05fd83572a0696d80e633204a2c63356a0e5a590ee42baa58e2ad92e9e0c7299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6973",
    "kind": "arxiv",
    "version": 1
  }
}