Pith Number

pith:DKSN6LWI

pith:2017:DKSN6LWIMR6VAF56EKENNBARQT

not attested not anchored not stored refs pending

Airy structures and symplectic geometry of topological recursion

Maxim Kontsevich, Yan Soibelman

arxiv:1701.09137 v2 · 2017-01-31 · math.AG · hep-th · math-ph · math.MP · math.QA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKSN6LWIMR6VAF56EKENNBARQT}

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

Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

Refined lattice point counting on the moduli space of Klein surfaces

Receipt and verification

First computed	2026-05-18T00:48:59.392190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa4df2ec8647d5017be2288d6841184d5c9398036ee5953ed45bfb0ded53431

Aliases

arxiv: 1701.09137 · arxiv_version: 1701.09137v2 · doi: 10.48550/arxiv.1701.09137 · pith_short_12: DKSN6LWIMR6V · pith_short_16: DKSN6LWIMR6VAF56 · pith_short_8: DKSN6LWI

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/DKSN6LWIMR6VAF56EKENNBARQT \
  | 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: 1aa4df2ec8647d5017be2288d6841184d5c9398036ee5953ed45bfb0ded53431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b63f2ef65f0e5ad53e2d5e7c7c802782a9166b90d91f023d2b508d88abe0af1f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-31T17:17:32Z",
    "title_canon_sha256": "74f83bc8fdbae96088bc22ce2fb77cfde65542274ceac3b6816a728383c4e699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.09137",
    "kind": "arxiv",
    "version": 2
  }
}