Pith Number

pith:TM2FSNRZ

pith:2013:TM2FSNRZQTP5EXII5F6GUBYK26

not attested not anchored not stored refs pending

A simple proof of the tree-width duality theorem

Fr\'ed\'eric Mazoit (LaBRI)

arxiv:1309.2266 v1 · 2013-09-09 · 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{TM2FSNRZQTP5EXII5F6GUBYK26}

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	2026-05-18T03:13:46.791693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3459363984dfd25d08e97c6a070ad7866361ad37b896bafb3cc609b929a84e

Aliases

arxiv: 1309.2266 · arxiv_version: 1309.2266v1 · doi: 10.48550/arxiv.1309.2266 · pith_short_12: TM2FSNRZQTP5 · pith_short_16: TM2FSNRZQTP5EXII · pith_short_8: TM2FSNRZ

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/TM2FSNRZQTP5EXII5F6GUBYK26 \
  | 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: 9b3459363984dfd25d08e97c6a070ad7866361ad37b896bafb3cc609b929a84e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43dd0a1ef568343e5412252cddfac9f1f8d99bc2d1ace6fd7f3e894001b8fc4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-09T19:17:56Z",
    "title_canon_sha256": "c6280194a001f0a29a32e2521b47f75b49317fc8ecce37a4d27a51df0a2ba78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2266",
    "kind": "arxiv",
    "version": 1
  }
}