Pith Number

pith:EX5CXFYU

pith:2013:EX5CXFYUE66KNHBSBGX4O5KLZP

not attested not anchored not stored refs pending

Testing Mutual Duality of Planar Graphs

Ignaz Rutter, Patrizio Angelini, Thomas Bl\"asius

arxiv:1303.1640 v1 · 2013-03-07 · cs.DS · cs.DM · 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{EX5CXFYUE66KNHBSBGX4O5KLZP}

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	2026-05-18T03:31:42.104615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25fa2b971427bca69c3209afc7754bcbf3136b0f329dc51e79189e2773e46801

Aliases

arxiv: 1303.1640 · arxiv_version: 1303.1640v1 · doi: 10.48550/arxiv.1303.1640 · pith_short_12: EX5CXFYUE66K · pith_short_16: EX5CXFYUE66KNHBS · pith_short_8: EX5CXFYU

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/EX5CXFYUE66KNHBSBGX4O5KLZP \
  | 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: 25fa2b971427bca69c3209afc7754bcbf3136b0f329dc51e79189e2773e46801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95be2dfb0f4d1fbcf8c1b375e04f46666592e813e02338f13d049d1e762121fd",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-03-07T10:35:12Z",
    "title_canon_sha256": "d59ac477d3fb2ca1e3b12a60630d2b2e67d70782f14f5dc179984c03e6c0641d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1640",
    "kind": "arxiv",
    "version": 1
  }
}