Pith Number

pith:PNYXJGZB

pith:2015:PNYXJGZBN7AISCILUXUU46ROQY

not attested not anchored not stored refs pending

Chiodo formulas for the r-th roots and topological recursion

Alexandr Popolitov, Danilo Lewanski, Dimitri Zvonkine, Sergey Shadrin

arxiv:1504.07439 v2 · 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{PNYXJGZBN7AISCILUXUU46ROQY}

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	2026-05-18T00:37:48.939784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b71749b216fc089090ba5e94e7a2e86309245aee9b0d0a8e577cc70b251642c

Aliases

arxiv: 1504.07439 · arxiv_version: 1504.07439v2 · doi: 10.48550/arxiv.1504.07439 · pith_short_12: PNYXJGZBN7AI · pith_short_16: PNYXJGZBN7AISCIL · pith_short_8: PNYXJGZB

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/PNYXJGZBN7AISCILUXUU46ROQY \
  | 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: 7b71749b216fc089090ba5e94e7a2e86309245aee9b0d0a8e577cc70b251642c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cde404adf4a0fd320e7171d29ffba4dfb14c551a00bbe6441cae7d1d56b5637",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-28T12:16:20Z",
    "title_canon_sha256": "d6a5d6f46eb6b90967b5a1d9e0133bec61970d033343b72303873db8cb2254a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07439",
    "kind": "arxiv",
    "version": 2
  }
}