Pith Number

pith:NCNM4H3X

pith:2019:NCNM4H3XHBUUSI26LNVUBYTNMX

not attested not anchored not stored refs pending

Cut-and-join structure and integrability for spin Hurwitz numbers

A. Mironov, A. Morozov, S. Natanzon

arxiv:1904.11458 v2 · 2019-04-25 · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCNM4H3XHBUUSI26LNVUBYTNMX}

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

On Hamiltonians for Kerov functions

Receipt and verification

First computed	2026-07-05T02:10:57.104267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689ace1f77386949235e5b6b40e26d65ca874d3b4134647a4714997526deb20f

Aliases

arxiv: 1904.11458 · arxiv_version: 1904.11458v2 · doi: 10.48550/arxiv.1904.11458 · pith_short_12: NCNM4H3XHBUU · pith_short_16: NCNM4H3XHBUUSI26 · pith_short_8: NCNM4H3X

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/NCNM4H3XHBUUSI26LNVUBYTNMX \
  | 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: 689ace1f77386949235e5b6b40e26d65ca874d3b4134647a4714997526deb20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c324cf81c24dbd6f0b24c00ddbf9c8d85e6d92c024002cb37a9f29cad2f403c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-04-25T16:58:03Z",
    "title_canon_sha256": "1cbc9c9d452d064f47a42d88229940812e1d3a33f2883469d77bd1517a1dfc6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11458",
    "kind": "arxiv",
    "version": 2
  }
}