Pith Number

pith:GJHY47HR

pith:2013:GJHY47HRIR7JULOFVATTLOU3CP

not attested not anchored not stored refs pending

The spectral curve and the Schroedinger equation of double Hurwitz numbers and higher spin structures

Loek Spitz, Motohico Mulase, Sergey Shadrin

arxiv:1301.5580 v2 · 2013-01-23 · math.AG · math-ph · 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{GJHY47HRIR7JULOFVATTLOU3CP}

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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

Quantum Curves in the Context of Symplectic Duality

Receipt and verification

First computed	2026-07-05T08:36:15.087137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324f8e7cf1447e9a2dc5a82735ba9b13fafa7febad2b90af8a14c17e75d87f75

Aliases

arxiv: 1301.5580 · arxiv_version: 1301.5580v2 · doi: 10.48550/arxiv.1301.5580 · pith_short_12: GJHY47HRIR7J · pith_short_16: GJHY47HRIR7JULOF · pith_short_8: GJHY47HR

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/GJHY47HRIR7JULOFVATTLOU3CP \
  | 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: 324f8e7cf1447e9a2dc5a82735ba9b13fafa7febad2b90af8a14c17e75d87f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e05306a08f51513156387537ea9eea3043394a36e193a4de5187de34f9c06d0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-23T17:39:51Z",
    "title_canon_sha256": "405f9d4eccb0f342bc3f279ea9b541812c986aca9f86f8ccce81ec3ae8735da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5580",
    "kind": "arxiv",
    "version": 2
  }
}