Pith Number

pith:WCNBMI6E

pith:2014:WCNBMI6ETSNRHLOQ5SBRVA45QH

not attested not anchored not stored refs pending

The two-point function of bicolored planar maps

Emmanuel Guitter, \'Eric Fusy

arxiv:1411.4406 v1 · 2014-11-17 · 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{WCNBMI6ETSNRHLOQ5SBRVA45QH}

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	2026-05-18T01:25:39.637839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09a1623c49c9b13add0ec831a839d81e6694fd277c93b16442347bbf3ab8f75

Aliases

arxiv: 1411.4406 · arxiv_version: 1411.4406v1 · doi: 10.48550/arxiv.1411.4406 · pith_short_12: WCNBMI6ETSNR · pith_short_16: WCNBMI6ETSNRHLOQ · pith_short_8: WCNBMI6E

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/WCNBMI6ETSNRHLOQ5SBRVA45QH \
  | 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: b09a1623c49c9b13add0ec831a839d81e6694fd277c93b16442347bbf3ab8f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "393502c4a9589e4890f3881f980bdc4df220f9bf7a8d9c8adb3563089a9a877b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-17T09:56:39Z",
    "title_canon_sha256": "831d9d6da0457b264dec07fbf629502058272b5d333929768f5b8ba463184b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4406",
    "kind": "arxiv",
    "version": 1
  }
}