Pith Number

pith:MFH4AQ3P

pith:2003:MFH4AQ3PQ25G4XO7BDCPFQQQBE

not attested not anchored not stored refs pending

A lecture on the Liouville vertex operators

J. Teschner

arxiv:hep-th/0303150 v2 · 2003-03-17 · 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{MFH4AQ3PQ25G4XO7BDCPFQQQBE}

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

A perturbative Liouville prescription for the celestial three-gluon amplitude

Receipt and verification

First computed	2026-05-18T01:38:48.831827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614fc0436f86ba6e5ddf08c4f2c21009349060d24ab7ffcb640c34bce41c88cb

Aliases

arxiv: hep-th/0303150 · arxiv_version: hep-th/0303150v2 · doi: 10.48550/arxiv.hep-th/0303150 · pith_short_12: MFH4AQ3PQ25G · pith_short_16: MFH4AQ3PQ25G4XO7 · pith_short_8: MFH4AQ3P

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/MFH4AQ3PQ25G4XO7BDCPFQQQBE \
  | 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: 614fc0436f86ba6e5ddf08c4f2c21009349060d24ab7ffcb640c34bce41c88cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307e72146dd0ddec23d1522e7853b94c26fff9eb9171746d47585321c9c9c6cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-03-17T20:43:33Z",
    "title_canon_sha256": "01b2aece51713281461b4f22aa2e8586c8404b4311b6f37db0ed9576d33718bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0303150",
    "kind": "arxiv",
    "version": 2
  }
}