Pith Number

pith:BFHAXJPV

pith:2006:BFHAXJPVJ7VCBEALIHPTVPY2NO

not attested not anchored not stored refs pending

Black hole entropy and quantum information

M. J. Duff, S. Ferrara

arxiv:hep-th/0612036 v3 · 2006-12-05 · hep-th · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFHAXJPVJ7VCBEALIHPTVPY2NO}

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	2026-07-04T15:34:28.296754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094e0ba5f54fea20900b41df3abf1a6ba00a5f4a9f2ed595f23564362769f8f0

Aliases

arxiv: hep-th/0612036 · arxiv_version: hep-th/0612036v3 · doi: 10.48550/arxiv.hep-th/0612036 · pith_short_12: BFHAXJPVJ7VC · pith_short_16: BFHAXJPVJ7VCBEAL · pith_short_8: BFHAXJPV

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/BFHAXJPVJ7VCBEALIHPTVPY2NO \
  | 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: 094e0ba5f54fea20900b41df3abf1a6ba00a5f4a9f2ed595f23564362769f8f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b91fc68017635335f36d126c91317b59a9f05610645295200492151e0d48522",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-05T12:23:47Z",
    "title_canon_sha256": "376a8c38e9c85a5ca161d78a5242b18ed2d6d6c57738c0b7f1dbe9330fa5fd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612036",
    "kind": "arxiv",
    "version": 3
  }
}