Pith Number

pith:43SCY4A3

pith:2024:43SCY4A37Q7CMOYY64EHCNZZWZ

not attested not anchored not stored refs pending

Liouville Theory: An Introduction to Rigorous Approaches

Edward Witten, Sourav Chatterjee

arxiv:2404.02001 v3 · 2024-04-02 · hep-th · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43SCY4A37Q7CMOYY64EHCNZZWZ}

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.

Receipt and verification

First computed	2026-07-05T09:50:46.430759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e42c701bfc3e263b18f708713739b675f4f6811cac7cd1217360fc43c4e78f

Aliases

arxiv: 2404.02001 · arxiv_version: 2404.02001v3 · doi: 10.48550/arxiv.2404.02001 · pith_short_12: 43SCY4A37Q7C · pith_short_16: 43SCY4A37Q7CMOYY · pith_short_8: 43SCY4A3

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/43SCY4A37Q7CMOYY64EHCNZZWZ \
  | 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: e6e42c701bfc3e263b18f708713739b675f4f6811cac7cd1217360fc43c4e78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7891090107f687ee6061f1105db1489255cde6dfd59c0fbc2ed0c7d22c7610c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-04-02T14:43:41Z",
    "title_canon_sha256": "a639db0a6dd6995711ebfb16852807650756b886e6e1aa0befeae2c4cc25c389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.02001",
    "kind": "arxiv",
    "version": 3
  }
}