Pith Number

pith:22GTBZ66

pith:2004:22GTBZ66TYGMIJSAK37RSGMHIS

not attested not anchored not stored refs pending

Liouville Field Theory -- A decade after the revolution

Yu Nakayama

arxiv:hep-th/0402009 v7 · 2004-02-02 · 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{22GTBZ66TYGMIJSAK37RSGMHIS}

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

4 papers in Pith

All the D-Branes of Resurgence

M\"obius randomness in the Hartle-Hawking state

A perturbative Liouville prescription for the celestial three-gluon amplitude

Hadrons in $\mathcal{N}=2$ supersymmetric QCD from non-Abelian string on 2D black hole

Receipt and verification

First computed	2026-05-18T04:22:51.499160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d68d30e7de9e0cc4264056ff191987449f401f0aac38bcf6071df9e9a2804cc0

Aliases

arxiv: hep-th/0402009 · arxiv_version: hep-th/0402009v7 · doi: 10.48550/arxiv.hep-th/0402009 · pith_short_12: 22GTBZ66TYGM · pith_short_16: 22GTBZ66TYGMIJSA · pith_short_8: 22GTBZ66

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/22GTBZ66TYGMIJSAK37RSGMHIS \
  | 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: d68d30e7de9e0cc4264056ff191987449f401f0aac38bcf6071df9e9a2804cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d603382c3bca9e0a1fd0dec34cb751a65fe5b371e7a4cce8a5f21f7d07d7fff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-02-02T03:05:04Z",
    "title_canon_sha256": "31b595f8ee46de4ceffc8580ee604f10e0a2868e6242edcbceab2ab8a308bc63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0402009",
    "kind": "arxiv",
    "version": 7
  }
}