Pith Number

pith:Y7CFYBPQ

pith:2011:Y7CFYBPQAYXEVEYVVBUXRGJMKW

not attested not anchored not stored refs pending

Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations

A.Mironov, A.Morozov, S.Natanzon

arxiv:1108.0885 v1 · 2011-08-03 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7CFYBPQAYXEVEYVVBUXRGJMKW}

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

Twisted Cherednik spectrum as a $q,t$-deformation

Receipt and verification

First computed	2026-05-18T02:01:03.463355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c45c05f0062e4a9315a86978992c55ab39054a32363c893620963f0c9568f2

Aliases

arxiv: 1108.0885 · arxiv_version: 1108.0885v1 · doi: 10.48550/arxiv.1108.0885 · pith_short_12: Y7CFYBPQAYXE · pith_short_16: Y7CFYBPQAYXEVEYV · pith_short_8: Y7CFYBPQ

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/Y7CFYBPQAYXEVEYVVBUXRGJMKW \
  | 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: c7c45c05f0062e4a9315a86978992c55ab39054a32363c893620963f0c9568f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b15fd46684049e1edaa669bbf554a7c003c3b6b177f91644e2d7756883a9243",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-03T16:24:01Z",
    "title_canon_sha256": "ea025afc782dbc73e25d5d9d7ad81c2cf687f5c9e836277b9b59ab5c5924a55a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0885",
    "kind": "arxiv",
    "version": 1
  }
}