Pith Number

pith:HQSIZOCC

pith:2012:HQSIZOCCSVSCCXWWHNNRZ4WUPI

not attested not anchored not stored refs pending

On Induced Subgraphs of Finite Graphs not Containing Large Empty and Complete Subgraphs

G\'abor S\'agi

arxiv:1211.3876 v3 · 2012-11-16 · math.LO · 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{HQSIZOCCSVSCCXWWHNNRZ4WUPI}

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	2026-05-18T00:37:53.070523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c248cb8429564215ed63b5b1cf2d47a3c082fd8fbe90cd6e5e7ca0179010015

Aliases

arxiv: 1211.3876 · arxiv_version: 1211.3876v3 · doi: 10.48550/arxiv.1211.3876 · pith_short_12: HQSIZOCCSVSC · pith_short_16: HQSIZOCCSVSCCXWW · pith_short_8: HQSIZOCC

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/HQSIZOCCSVSCCXWWHNNRZ4WUPI \
  | 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: 3c248cb8429564215ed63b5b1cf2d47a3c082fd8fbe90cd6e5e7ca0179010015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c91312898a8ceaa33971d6f19c331c182c20be80629f9deac5aed275d1b46c97",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-11-16T12:19:41Z",
    "title_canon_sha256": "799cc213dc8793024a9ccacc3548a613b8a2a368eeb7aa11f11c2b7a38aa43bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3876",
    "kind": "arxiv",
    "version": 3
  }
}