Pith Number

pith:FQJAZB2W

pith:2003:FQJAZB2WWP7WGHAYUTYAJW6SCV

not attested not anchored not stored refs pending

On the quantum width of a black hole horizon

Donald Marolf

arxiv:hep-th/0312059 v3 · 2003-12-05 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQJAZB2WWP7WGHAYUTYAJW6SCV}

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.

Cited by

2 papers in Pith

Quantum Fluctuations of the Black Hole Horizon

Large Quantum Gravity Fluctuations of BTZ Black Holes

Receipt and verification

First computed	2026-07-04T15:20:28.226645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c120c8756b3ff631c18a4f004dbd2157a9e613313819fc424bb7abcee46d378

Aliases

arxiv: hep-th/0312059 · arxiv_version: hep-th/0312059v3 · doi: 10.48550/arxiv.hep-th/0312059 · pith_short_12: FQJAZB2WWP7W · pith_short_16: FQJAZB2WWP7WGHAY · pith_short_8: FQJAZB2W

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/FQJAZB2WWP7WGHAYUTYAJW6SCV \
  | 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: 2c120c8756b3ff631c18a4f004dbd2157a9e613313819fc424bb7abcee46d378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef9ed7b8a26bbacd9902709237b73607c2da2051096a32c76f5116c82c94658",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-12-05T05:29:31Z",
    "title_canon_sha256": "eea45962df6d5be67b074daf5f5096c4c002644da23c3ea28d3eea725b8cbcd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0312059",
    "kind": "arxiv",
    "version": 3
  }
}