Pith Number

pith:A7XK3DYZ

pith:2014:A7XK3DYZLOTQUNTWE5DLPFV4G7

not attested not anchored not stored refs pending

Graph sharing game and the structure of weighted graphs with a forbidden subdivision

Adam G\k{a}gol, Bartosz Walczak, Piotr Micek

arxiv:1411.6727 v3 · 2014-11-25 · 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{A7XK3DYZLOTQUNTWE5DLPFV4G7}

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	2026-05-18T00:46:04.754486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07eead8f195ba70a36762746b796bc37dc4f49e53f5f44813fb28cfebb6231f5

Aliases

arxiv: 1411.6727 · arxiv_version: 1411.6727v3 · doi: 10.48550/arxiv.1411.6727 · pith_short_12: A7XK3DYZLOTQ · pith_short_16: A7XK3DYZLOTQUNTW · pith_short_8: A7XK3DYZ

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/A7XK3DYZLOTQUNTWE5DLPFV4G7 \
  | 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: 07eead8f195ba70a36762746b796bc37dc4f49e53f5f44813fb28cfebb6231f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ab34b1b35e24cce6283a8f3c81dfb426eaf265d205ecffbff826366a66cb00",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-25T04:38:00Z",
    "title_canon_sha256": "5c69839107e5a32fca44629a6e1498ac797ffb9014f3ca2292981ae9a4f4d59d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6727",
    "kind": "arxiv",
    "version": 3
  }
}