Pith Number

pith:Y7CKIFC5

pith:2022:Y7CKIFC5Q5AOOOAJRT7HSJTAO3

not attested not anchored not stored refs pending

A simple formula for the $x$-$y$ symplectic transformation in topological recursion

Alexander Hock

arxiv:2211.08917 v3 · 2022-11-16 · math-ph · hep-th · math.CO · math.MP · math.OA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7CKIFC5Q5AOOOAJRT7HSJTAO3}

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 new family of weighted double Hurwitz numbers and a new ELSV-type formula with $\Omega$-classes

Receipt and verification

First computed	2026-07-05T07:09:44.526918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c4a4145d8740e738098cfe79266076f54f5e2de4d3a6ac8459d567c9196de6

Aliases

arxiv: 2211.08917 · arxiv_version: 2211.08917v3 · doi: 10.48550/arxiv.2211.08917 · pith_short_12: Y7CKIFC5Q5AO · pith_short_16: Y7CKIFC5Q5AOOOAJ · pith_short_8: Y7CKIFC5

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/Y7CKIFC5Q5AOOOAJRT7HSJTAO3 \
  | 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: c7c4a4145d8740e738098cfe79266076f54f5e2de4d3a6ac8459d567c9196de6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d5aed513d0ce135100022643b810067e922c393a94ed8acbb56fe3a00d88bb",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP",
      "math.OA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-11-16T13:55:46Z",
    "title_canon_sha256": "e104ab3e8b510c608da40debe5ebddf2760deea4871c4b53165b33c90adcd07e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.08917",
    "kind": "arxiv",
    "version": 3
  }
}