Pith Number

pith:BQEOVBLT

pith:2022:BQEOVBLTUUXIBDXZZION6TKLNE

not attested not anchored not stored refs pending

The two-sphere partition function from timelike Liouville theory at three-loop order

Beatrix M\"uhlmann

arxiv:2202.04549 v1 · 2022-02-09 · 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{BQEOVBLTUUXIBDXZZION6TKLNE}

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

3 papers in Pith

De Sitter Horizon Edge Partition Functions

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

Quantum Liouville Cosmology

Receipt and verification

First computed	2026-07-05T04:25:55.023601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c08ea8573a52e808ef9ca1cdf4d4b690b50ce1df58046c5fa87f571a5c0d711

Aliases

arxiv: 2202.04549 · arxiv_version: 2202.04549v1 · doi: 10.48550/arxiv.2202.04549 · pith_short_12: BQEOVBLTUUXI · pith_short_16: BQEOVBLTUUXIBDXZ · pith_short_8: BQEOVBLT

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/BQEOVBLTUUXIBDXZZION6TKLNE \
  | 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: 0c08ea8573a52e808ef9ca1cdf4d4b690b50ce1df58046c5fa87f571a5c0d711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f31dc5a6d65c5f43ebb6f04bc6280501a33db4dd79cc8e6e413d617ede31f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-02-09T16:29:15Z",
    "title_canon_sha256": "99a9dcddf3d32b533354cd07dc6004e37145e8d41cae4bd6c240875b2d410f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.04549",
    "kind": "arxiv",
    "version": 1
  }
}