Pith Number

pith:R4C6EPI5

pith:2012:R4C6EPI5VZQ2PUSUFZBH75UQOY

not attested not anchored not stored refs pending

A linear-time algorithm for finding a complete graph minor in a dense graph

Bruce Reed, Daniel J. Harvey, David R. Wood, Gwena\"el Joret, Vida Dujmovi\'c

arxiv:1202.2624 v2 · 2012-02-13 · math.CO · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4C6EPI5VZQ2PUSUFZBH75UQOY}

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	2026-05-18T03:03:21.430697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f05e23d1dae61a7d2542e427ff69076358822e7587b831006b790a42aa1ab95

Aliases

arxiv: 1202.2624 · arxiv_version: 1202.2624v2 · doi: 10.48550/arxiv.1202.2624 · pith_short_12: R4C6EPI5VZQ2 · pith_short_16: R4C6EPI5VZQ2PUSU · pith_short_8: R4C6EPI5

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/R4C6EPI5VZQ2PUSUFZBH75UQOY \
  | 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: 8f05e23d1dae61a7d2542e427ff69076358822e7587b831006b790a42aa1ab95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebf064a91dc9f7e014ee9818d96e865bd278ab61c76f13aaa4582851269615a9",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-13T04:46:01Z",
    "title_canon_sha256": "eb428efa109a768bce25b639d792ad9ac552e53f08dd7218103020c3e16925e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2624",
    "kind": "arxiv",
    "version": 2
  }
}