Pith Number

pith:P5W6M6JJ

pith:2026:P5W6M6JJ3U3L2SBOE4OOO2XGKF

not attested not anchored not stored refs pending

A bijective topological recursion for maps

Alessandro Giacetto, Ga\"etan Borot, Lasse Merkens

arxiv:2608.00117 v1 · 2026-07-31 · math.GT · math-ph · 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{P5W6M6JJ3U3L2SBOE4OOO2XGKF}

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	2026-08-04T00:32:36.299235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6de67929dd36bd482e271ce76ae651426e65323fcad24e8ef590f2ae019696

Aliases

arxiv: 2608.00117 · arxiv_version: 2608.00117v1 · doi: 10.48550/arxiv.2608.00117 · pith_short_12: P5W6M6JJ3U3L · pith_short_16: P5W6M6JJ3U3L2SBO · pith_short_8: P5W6M6JJ

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/P5W6M6JJ3U3L2SBOE4OOO2XGKF \
  | 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: 7f6de67929dd36bd482e271ce76ae651426e65323fcad24e8ef590f2ae019696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b13f8c7bf1b0d92e1b3fd53753e84e3365decafe45e956f2121228f409211e6",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-31T10:06:00Z",
    "title_canon_sha256": "95f9fe96ed6c51ec8031d8bdcebcf3a727b61296ffc0f2e744eeace06c8209bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00117",
    "kind": "arxiv",
    "version": 1
  }
}