Pith Number

pith:7PZPU6LN

pith:2025:7PZPU6LN2K2CZRKWN65L47VFJM

not attested not anchored not stored refs pending

Virasoro constraints for topological recursion

Qingsheng Zhang, Shuai Guo

arxiv:2507.20151 v1 · 2025-07-27 · 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{7PZPU6LN2K2CZRKWN65L47VFJM}

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

Generalized Kontsevich model, topological recursion, and $r$-spin theory

Receipt and verification

First computed	2026-07-05T11:44:14.188832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf2fa796dd2b42cc5566fbabe7ea54b3e414b9725be965c4ad4cea64fcd9770

Aliases

arxiv: 2507.20151 · arxiv_version: 2507.20151v1 · doi: 10.48550/arxiv.2507.20151 · pith_short_12: 7PZPU6LN2K2C · pith_short_16: 7PZPU6LN2K2CZRKW · pith_short_8: 7PZPU6LN

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/7PZPU6LN2K2CZRKWN65L47VFJM \
  | 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: fbf2fa796dd2b42cc5566fbabe7ea54b3e414b9725be965c4ad4cea64fcd9770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09cedff0fc9d205bf49763751c236636435d37f97f7dcd3631373301607c3032",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-27T06:56:16Z",
    "title_canon_sha256": "b4f09e1ff1d8a0f9a0df57a556de0310dfb6d1cec771d637f61840e829d4347f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20151",
    "kind": "arxiv",
    "version": 1
  }
}