Pith Number

pith:A3SV2YFC

pith:2010:A3SV2YFCMIEYMMN6Z4OI2ALNRG

not attested not anchored not stored refs pending

Small Minors in Dense Graphs

David R. Wood, Dirk Oliver Theis, Gwena\"el Joret, Samuel Fiorini

arxiv:1005.0895 v4 · 2010-05-06 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3SV2YFCMIEYMMN6Z4OI2ALNRG}

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	2026-05-18T03:25:06.332275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e55d60a262098631becf1c8d016d899f45c6a976e64bfeaa805d7c009dd3cc

Aliases

arxiv: 1005.0895 · arxiv_version: 1005.0895v4 · doi: 10.48550/arxiv.1005.0895 · pith_short_12: A3SV2YFCMIEY · pith_short_16: A3SV2YFCMIEYMMN6 · pith_short_8: A3SV2YFC

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/A3SV2YFCMIEYMMN6Z4OI2ALNRG \
  | 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: 06e55d60a262098631becf1c8d016d899f45c6a976e64bfeaa805d7c009dd3cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f825ea46fad04e124a90422603ecb7de270d74cbe65dade925878dec47d01b92",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-06T06:30:49Z",
    "title_canon_sha256": "5b41232d897949efc91f5faefca0997f649a4a654fe8c6e7f2d9236172e765fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0895",
    "kind": "arxiv",
    "version": 4
  }
}