Pith Number

pith:M27W7DLN

pith:2017:M27W7DLNFOK2SXB5EQ3ITX4GIL

not attested not anchored not stored refs pending

Special cases of the orbifold version of Zvonkine's $r$-ELSV formula

Alexandr Popolitov, Danilo Lewanski, Ga\"etan Borot, Reinier Kramer, Sergey Shadrin

arxiv:1705.10811 v1 · 2017-05-30 · math.AG · math-ph · 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{M27W7DLNFOK2SXB5EQ3ITX4GIL}

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

Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture

Receipt and verification

First computed	2026-07-05T02:44:30.264282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66bf6f8d6d2b95a95c3d243689df8642f0d5b02d040287fcef2ba56c6a581475

Aliases

arxiv: 1705.10811 · arxiv_version: 1705.10811v1 · doi: 10.48550/arxiv.1705.10811 · pith_short_12: M27W7DLNFOK2 · pith_short_16: M27W7DLNFOK2SXB5 · pith_short_8: M27W7DLN

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/M27W7DLNFOK2SXB5EQ3ITX4GIL \
  | 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: 66bf6f8d6d2b95a95c3d243689df8642f0d5b02d040287fcef2ba56c6a581475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab1c851e84784964737454ebe50b2086a2f2623351c6f71f8a20e2d8b029f3e5",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-30T18:16:34Z",
    "title_canon_sha256": "f822eef65493987133699e3ea0d2ccd3f988ec8af2f9da1946399be06f26ab6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10811",
    "kind": "arxiv",
    "version": 1
  }
}