Pith Number

pith:JAW3NNVA

pith:2011:JAW3NNVAF7PG4IFLJQY7EE24UL

not attested not anchored not stored refs pending

Optimizing the Graph Minors Weak Structure Theorem

Archontia C. Giannopoulou, Dimitrios M. Thilikos

arxiv:1102.5762 v1 · 2011-02-28 · 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{JAW3NNVAF7PG4IFLJQY7EE24UL}

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	2026-05-18T04:27:46.032750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482db6b6a02fde6e20ab4c31f2135ca2f1f18adc739c9d2d3de3d60fc4093118

Aliases

arxiv: 1102.5762 · arxiv_version: 1102.5762v1 · doi: 10.48550/arxiv.1102.5762 · pith_short_12: JAW3NNVAF7PG · pith_short_16: JAW3NNVAF7PG4IFL · pith_short_8: JAW3NNVA

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/JAW3NNVAF7PG4IFLJQY7EE24UL \
  | 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: 482db6b6a02fde6e20ab4c31f2135ca2f1f18adc739c9d2d3de3d60fc4093118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2c5b2520e743a954855d80412acc6d5a37e31a3afb01633aa11c0811b1b484",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-28T20:13:21Z",
    "title_canon_sha256": "ba3ab674c4ef90a4c30250f85ee2832044b0cb903a39c496d68a38ada02674dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5762",
    "kind": "arxiv",
    "version": 1
  }
}