Pith Number

pith:VPU2KGT6

pith:2009:VPU2KGT6RLDP5E3WZVUWZA2AFZ

not attested not anchored not stored refs pending

Complete Set of Cut-and-Join Operators in Hurwitz-Kontsevich Theory

A.Mironov, A.Morozov, S.Natanzon

arxiv:0904.4227 v2 · 2009-04-27 · 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{VPU2KGT6RLDP5E3WZVUWZA2AFZ}

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

Non-commutative creation operators for symmetric polynomials

Receipt and verification

First computed	2026-05-18T04:28:55.853627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe9a51a7e8ac6fe9376cd696c83402e5e0b07bf46f094a7768c41e076db1962

Aliases

arxiv: 0904.4227 · arxiv_version: 0904.4227v2 · doi: 10.48550/arxiv.0904.4227 · pith_short_12: VPU2KGT6RLDP · pith_short_16: VPU2KGT6RLDP5E3W · pith_short_8: VPU2KGT6

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/VPU2KGT6RLDP5E3WZVUWZA2AFZ \
  | 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: abe9a51a7e8ac6fe9376cd696c83402e5e0b07bf46f094a7768c41e076db1962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1b1ddd3c0c642de15ed6ba00a183e920840be76fada7610f18bc4278427105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-04-27T18:00:55Z",
    "title_canon_sha256": "6e423f0b6c260c1b93cf9bd190c66ceb35c20bbf5d0b93ff1c36057a1d3e74cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4227",
    "kind": "arxiv",
    "version": 2
  }
}