Pith Number

pith:T54GPBJD

pith:2022:T54GPBJDXF3R3FD43ZN3VB2FHW

not attested not anchored not stored refs pending

A universal formula for the $x-y$ swap in topological recursion

Alexander Alexandrov, Boris Bychkov, Maxim Kazarian, Petr Dunin-Barkowski, Sergey Shadrin

arxiv:2212.00320 v3 · 2022-12-01 · math-ph · hep-th · math.AG · 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{T54GPBJDXF3R3FD43ZN3VB2FHW}

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

2 papers in Pith

Resonance transformations for the $(2,2p+1)$ minimal string via $x-y$ swap: a proof of Artemev's conjecture

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

Receipt and verification

First computed	2026-07-05T11:09:56.542834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f78678523b9771d947cde5bba87453d8204103912f95b30d61e51704ef3aae2

Aliases

arxiv: 2212.00320 · arxiv_version: 2212.00320v3 · doi: 10.48550/arxiv.2212.00320 · pith_short_12: T54GPBJDXF3R · pith_short_16: T54GPBJDXF3R3FD4 · pith_short_8: T54GPBJD

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/T54GPBJDXF3R3FD43ZN3VB2FHW \
  | 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: 9f78678523b9771d947cde5bba87453d8204103912f95b30d61e51704ef3aae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d07442e2f86a0b7fc9cda3f9c1dab38e06ef51d2fa194406d8dbe8e907ddb2",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-12-01T07:11:05Z",
    "title_canon_sha256": "41670dfcc7cfe8376becebd3a76f0f6d8a034bfbced352d4aaeb4b849f6c09ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00320",
    "kind": "arxiv",
    "version": 3
  }
}