pith. sign in
Pith Number

pith:MJGJKDSA

pith:2012:MJGJKDSA2R5CBPALTLT4QN465M
not attested not anchored not stored refs pending

Counting colored planar maps free-probabilistically

Abdelmalek Abdesselam, Greg W. Anderson

arxiv:1203.3185 v2 · 2012-03-14 · math.PR · math.CO · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MJGJKDSA2R5CBPALTLT4QN465M}

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 2026-05-18T03:49:00.913529Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

624c950e40d47a20bc0b9ae7c8379eeb0886e1889d22535fac90203089254263

Aliases

arxiv: 1203.3185 · arxiv_version: 1203.3185v2 · doi: 10.48550/arxiv.1203.3185 · pith_short_12: MJGJKDSA2R5C · pith_short_16: MJGJKDSA2R5CBPAL · pith_short_8: MJGJKDSA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MJGJKDSA2R5CBPALTLT4QN465M \
  | 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: 624c950e40d47a20bc0b9ae7c8379eeb0886e1889d22535fac90203089254263
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c74e4b98d8b8f193d6fca4267a9dac6dce34538357504b2df96d1ffe16755576",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-14T19:46:46Z",
    "title_canon_sha256": "536c148213166aae46c7cefb7bd5c15cb3870aa414d788e0d81c4a741fcb3452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3185",
    "kind": "arxiv",
    "version": 2
  }
}