Pith Number

pith:7DNNAGUS

pith:2011:7DNNAGUSCKGDEJAZX4CX53CMBL

not attested not anchored not stored refs pending

Forcing large complete minors in infinite graphs

Jos\'e Zamora, Maya Stein

arxiv:1102.0552 v1 · 2011-02-02 · 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{7DNNAGUSCKGDEJAZX4CX53CMBL}

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	2026-05-18T04:30:04.801115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8dad01a92128c322419bf057eec4c0afbf35b5ad42e6ac8a8bcaa3715200d1a

Aliases

arxiv: 1102.0552 · arxiv_version: 1102.0552v1 · doi: 10.48550/arxiv.1102.0552 · pith_short_12: 7DNNAGUSCKGD · pith_short_16: 7DNNAGUSCKGDEJAZ · pith_short_8: 7DNNAGUS

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/7DNNAGUSCKGDEJAZX4CX53CMBL \
  | 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: f8dad01a92128c322419bf057eec4c0afbf35b5ad42e6ac8a8bcaa3715200d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f41a4d160e1f19c8aa5c5b712d7ec0298b80942e1dd831c46f811ac001cccd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-02T20:48:39Z",
    "title_canon_sha256": "3b60798d7d532c29ac51eb97763c5d8e9712f39277f1d21bd3fa56a18e2e5f7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0552",
    "kind": "arxiv",
    "version": 1
  }
}