Pith Number

pith:STZX7POB

pith:2015:STZX7POBODJK32V5ZR36MLETVV

not attested not anchored not stored refs pending

Polynomiality of orbifold Hurwitz numbers, spectral curve, and a new proof of the Johnson-Pandharipande-Tseng formula

Alexandr Popolitov, Danilo Lewanski, Petr Dunin-Barkowski, Sergey Shadrin

arxiv:1504.07440 v1 · 2015-04-28 · math-ph · math.AG · math.CO · 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{STZX7POBODJK32V5ZR36MLETVV}

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.

Receipt and verification

First computed	2026-05-18T00:37:48.931865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f37fbdc170d2adeabdcc77e62c93ad67971b8df90c61b30f6947340ab20b82

Aliases

arxiv: 1504.07440 · arxiv_version: 1504.07440v1 · doi: 10.48550/arxiv.1504.07440 · pith_short_12: STZX7POBODJK · pith_short_16: STZX7POBODJK32V5 · pith_short_8: STZX7POB

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/STZX7POBODJK32V5ZR36MLETVV \
  | 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: 94f37fbdc170d2adeabdcc77e62c93ad67971b8df90c61b30f6947340ab20b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c34009af0766ba22e671b4c05df8e83e05403829058df99fa0f079b010418a65",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-28T12:16:43Z",
    "title_canon_sha256": "f805faa368f658c32bc18733a43b1f87ad9e3c81cf6408243aa56bac5c72f278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07440",
    "kind": "arxiv",
    "version": 1
  }
}