Pith Number

pith:LDJYPBR2

pith:1993:LDJYPBR2HT555P6OVTGJUSBR3B

not attested not anchored not stored refs pending

Liouville Theory: Quantum Geometry of Riemann Surfaces

Leon Takhtajan

arxiv:hep-th/9308125 v1 · 1993-08-26 · 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{LDJYPBR2HT555P6OVTGJUSBR3B}

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	2026-05-18T01:38:42.474558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d387863a3cfbdebfceaccc9a4831d85f1eca39e240e5bdafce187cecb5ea29

Aliases

arxiv: hep-th/9308125 · arxiv_version: hep-th/9308125v1 · doi: 10.48550/arxiv.hep-th/9308125 · pith_short_12: LDJYPBR2HT55 · pith_short_16: LDJYPBR2HT555P6O · pith_short_8: LDJYPBR2

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/LDJYPBR2HT555P6OVTGJUSBR3B \
  | 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: 58d387863a3cfbdebfceaccc9a4831d85f1eca39e240e5bdafce187cecb5ea29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0aacbbbc25dd100bb2c51beaecf539b24837ac2d786b4ad7be8a95f9c4b836",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-08-26T18:03:47Z",
    "title_canon_sha256": "a51b769f20adf14297cb8d7f9bebb5fbba6a809b11f1b109db65d1594a2cd770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9308125",
    "kind": "arxiv",
    "version": 1
  }
}