Pith Number

pith:3IZK2WOO

pith:2017:3IZK2WOOO72RFQPN74MGOMHKB6

not attested not anchored not stored refs pending

Towards an orbifold generalization of Zvonkine's $r$-ELSV formula

Alexandr Popolitov, Danilo Lewanski, Reinier Kramer, Sergey Shadrin

arxiv:1703.06725 v1 · 2017-03-20 · math.CO · math-ph · math.AG · 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{3IZK2WOOO72RFQPN74MGOMHKB6}

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	2026-05-17T23:40:49.932947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da32ad59ce77f512c1edff186730ea0f9ac74c3f71d06d51ce15c1b26d4fb7c1

Aliases

arxiv: 1703.06725 · arxiv_version: 1703.06725v1 · doi: 10.48550/arxiv.1703.06725 · pith_short_12: 3IZK2WOOO72R · pith_short_16: 3IZK2WOOO72RFQPN · pith_short_8: 3IZK2WOO

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/3IZK2WOOO72RFQPN74MGOMHKB6 \
  | 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: da32ad59ce77f512c1edff186730ea0f9ac74c3f71d06d51ce15c1b26d4fb7c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b208ef54f25b7305145f8fc3c890f7876377484a7f5151e63054326226ca7d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-20T13:14:26Z",
    "title_canon_sha256": "d69240b9a9695497fadb08d13c36c275f269600ac774b834d541081a4451f402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06725",
    "kind": "arxiv",
    "version": 1
  }
}