Pith Number

pith:AMUY7BWW

pith:2000:AMUY7BWW7FOQQ2WIZU6WD4CSO6

not attested not anchored not stored refs pending

Modular invariance of string theory on AdS_3

Akishi Kato, Yuji Satoh

arxiv:hep-th/0001063 v3 · 2000-01-11 · 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{AMUY7BWW7FOQQ2WIZU6WD4CSO6}

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	2026-07-04T16:20:36.674199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03298f86d6f95d086ac8cd3d61f052779b698136278455c25d1ed6a21a01b5b3

Aliases

arxiv: hep-th/0001063 · arxiv_version: hep-th/0001063v3 · doi: 10.48550/arxiv.hep-th/0001063 · pith_short_12: AMUY7BWW7FOQ · pith_short_16: AMUY7BWW7FOQQ2WI · pith_short_8: AMUY7BWW

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/AMUY7BWW7FOQQ2WIZU6WD4CSO6 \
  | 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: 03298f86d6f95d086ac8cd3d61f052779b698136278455c25d1ed6a21a01b5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51afdcafc92152e02b9ec82adddee9692f1db2fd4f7ba82f0346c877ec0028ed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-01-11T15:09:48Z",
    "title_canon_sha256": "2d629db74f940fa5442a88951a67a4fede8c8b3f4e45bd7ebb3fc8dfd36ecd9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0001063",
    "kind": "arxiv",
    "version": 3
  }
}