Pith Number

pith:SOG2ZJLS

pith:2021:SOG2ZJLSFZAK43FBYLJW7CLLXN

not attested not anchored not stored refs pending

Sphere and disk partition functions in Liouville and in matrix integrals

Cynthia Yan, Douglas Stanford, Raghu Mahajan

arxiv:2107.01172 v1 · 2021-07-02 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOG2ZJLSFZAK43FBYLJW7CLLXN}

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

7 papers in Pith

All the D-Branes of Resurgence

M\"obius randomness in the Hartle-Hawking state

Timelike Liouville theory and AdS$_3$ gravity at finite cutoff

Aspects of strings without spacetime supersymmetry

Quantum Liouville Cosmology

Receipt and verification

First computed	2026-07-05T04:47:07.963159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938daca5722e40ae6ca1c2d36f896bbb6acd6622bebb5dfe8b8d621ed39fe9cd

Aliases

arxiv: 2107.01172 · arxiv_version: 2107.01172v1 · doi: 10.48550/arxiv.2107.01172 · pith_short_12: SOG2ZJLSFZAK · pith_short_16: SOG2ZJLSFZAK43FB · pith_short_8: SOG2ZJLS

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/SOG2ZJLSFZAK43FBYLJW7CLLXN \
  | 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: 938daca5722e40ae6ca1c2d36f896bbb6acd6622bebb5dfe8b8d621ed39fe9cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ed0e14352e6b66f1c032eb2fba7aaf7940eacf1d2e090407ff1ad80642cbcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-02T16:21:48Z",
    "title_canon_sha256": "8392f8c57c5b06e7decf01e40aaeb9f4fd1c5ff92bcad6bef1985bd68c3e7d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01172",
    "kind": "arxiv",
    "version": 1
  }
}