Pith Number

pith:BMCSDBPP

pith:2013:BMCSDBPPL4UTLRQVRNGVPDV6KD

not attested not anchored not stored refs pending

Formal multidimensional integrals, stuffed maps, and topological recursion

Ga\"etan Borot

arxiv:1307.4957 v3 · 2013-07-18 · math-ph · hep-th · math.CO · 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{BMCSDBPPL4UTLRQVRNGVPDV6KD}

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.

Cited by

1 paper in Pith

A bijective topological recursion for maps

Receipt and verification

First computed	2026-05-18T01:03:24.440881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b052185ef5f2935c6158b4d578ebe50c9867be86a35b0a9a0f554c3664ac386

Aliases

arxiv: 1307.4957 · arxiv_version: 1307.4957v3 · doi: 10.48550/arxiv.1307.4957 · pith_short_12: BMCSDBPPL4UT · pith_short_16: BMCSDBPPL4UTLRQV · pith_short_8: BMCSDBPP

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/BMCSDBPPL4UTLRQVRNGVPDV6KD \
  | 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: 0b052185ef5f2935c6158b4d578ebe50c9867be86a35b0a9a0f554c3664ac386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485a049cc21021edda4f559a986c721bc585036f8cec8bef091edf9ad3e38a76",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-18T14:19:17Z",
    "title_canon_sha256": "8e0e7e9b771e03ccc0519340889c71a80ca397842a6e6d92fc65f0b431a5e670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4957",
    "kind": "arxiv",
    "version": 3
  }
}