Pith Number

pith:X4O6KY6E

pith:1997:X4O6KY6EYQTKVVO5EQDTXTGBJD

not attested not anchored not stored refs pending

Black hole entropy as T-duality invariant

Kenji Suzuki (Department of physics, Tokyo Institute of Technology)

arxiv:hep-th/9712224 v2 · 1997-12-24 · 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{X4O6KY6EYQTKVVO5EQDTXTGBJD}

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	2026-05-18T01:08:01.863301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1de563c4c426aad5dd24073bccc148f1810b6cb2c45dc3bf8e41c9b7bbf4eb

Aliases

arxiv: hep-th/9712224 · arxiv_version: hep-th/9712224v2 · doi: 10.48550/arxiv.hep-th/9712224 · pith_short_12: X4O6KY6EYQTK · pith_short_16: X4O6KY6EYQTKVVO5 · pith_short_8: X4O6KY6E

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/X4O6KY6EYQTKVVO5EQDTXTGBJD \
  | 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: bf1de563c4c426aad5dd24073bccc148f1810b6cb2c45dc3bf8e41c9b7bbf4eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0f5dd9f9e8713db4edd5810e05834b7a84b76386daa58c6e4544fbb7e20e40",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-12-24T06:19:04Z",
    "title_canon_sha256": "8354eb62b6582a060659b85d31951cb70eb4cffc53eeb7e08958a087ac7fd4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9712224",
    "kind": "arxiv",
    "version": 2
  }
}