Pith Number

pith:24UF5M7X

pith:2015:24UF5M7XUIYH4HQFTXBTSKMP7R

not attested not anchored not stored refs pending

The Harer--Zagier recursion for an irregular spectral curve

Leonid O. Chekhov

arxiv:1512.09278 v2 · 2015-12-31 · math-ph · hep-th · math.GT · 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{24UF5M7XUIYH4HQFTXBTSKMP7R}

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	2026-05-18T00:57:44.169974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7285eb3f7a2307e1e059dc339298ffc532b767c504ff4821d2eec68991cf8df

Aliases

arxiv: 1512.09278 · arxiv_version: 1512.09278v2 · doi: 10.48550/arxiv.1512.09278 · pith_short_12: 24UF5M7XUIYH · pith_short_16: 24UF5M7XUIYH4HQF · pith_short_8: 24UF5M7X

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/24UF5M7XUIYH4HQFTXBTSKMP7R \
  | 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: d7285eb3f7a2307e1e059dc339298ffc532b767c504ff4821d2eec68991cf8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c186886e53321d206900ee1369d82c38035f0718b224fb30944c385c69c81c63",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-31T13:08:22Z",
    "title_canon_sha256": "a72de4c5f6bdae41a2ad15e3a37575d3002689f655298c7b001e79caa41d8d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09278",
    "kind": "arxiv",
    "version": 2
  }
}