Pith Number

pith:LYKUVBJA

pith:1999:LYKUVBJA3KTLCHG72CSBIPLXUE

not attested not anchored not stored refs pending

Twisted sectors in three-dimensional gravity

Maximo Banados

arxiv:hep-th/9903178 v3 · 1999-03-22 · 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{LYKUVBJA3KTLCHG72CSBIPLXUE}

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	2026-05-18T01:08:00.191686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e154a8520daa6b11cdfd0a4143d77a12cbd49ee02544f1a83d64c70c73c179f

Aliases

arxiv: hep-th/9903178 · arxiv_version: hep-th/9903178v3 · doi: 10.48550/arxiv.hep-th/9903178 · pith_short_12: LYKUVBJA3KTL · pith_short_16: LYKUVBJA3KTLCHG7 · pith_short_8: LYKUVBJA

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/LYKUVBJA3KTLCHG72CSBIPLXUE \
  | 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: 5e154a8520daa6b11cdfd0a4143d77a12cbd49ee02544f1a83d64c70c73c179f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73fee6dbf9123ec544e3cbf3315245727eb20d4f8fa50783698e2dd14ffe80e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-03-22T16:03:18Z",
    "title_canon_sha256": "664c834a1c2a9458dc856179dc22269fc74b8e6732be9281882acd3d39cf8b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9903178",
    "kind": "arxiv",
    "version": 3
  }
}