Pith Number

pith:OLDVE7JW

pith:2013:OLDVE7JWENRBWKYC3OMW25JCZP

not attested not anchored not stored refs pending

On the two-point function of general planar maps and hypermaps

Emmanuel Guitter, \'Eric Fusy, J\'er\'emie Bouttier

arxiv:1312.0502 v1 · 2013-12-02 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLDVE7JWENRBWKYC3OMW25JCZP}

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	2026-05-18T01:36:39.020049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c7527d3623621b2b02db996d7522cbf1adfcb2c99710b137a67fec66371230

Aliases

arxiv: 1312.0502 · arxiv_version: 1312.0502v1 · doi: 10.48550/arxiv.1312.0502 · pith_short_12: OLDVE7JWENRB · pith_short_16: OLDVE7JWENRBWKYC · pith_short_8: OLDVE7JW

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/OLDVE7JWENRBWKYC3OMW25JCZP \
  | 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: 72c7527d3623621b2b02db996d7522cbf1adfcb2c99710b137a67fec66371230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "681c4ebe9fdb29a6a0c5ea0f7dc997fcdc459bc9f6f410ec7678b1b017462318",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-02T16:25:00Z",
    "title_canon_sha256": "aafcd1f5c9cddf0a0520281e2f8531b2a0227874e782dcd1c53fd207fe576a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0502",
    "kind": "arxiv",
    "version": 1
  }
}