Pith Number

pith:FG5K7ZAX

pith:2016:FG5K7ZAXZKSMIWJESHXP3J4B7Q

not attested not anchored not stored refs pending

The Quantum Black Hole as a Hydrogen Atom: Microstates Without Strings Attached

Gerard t Hooft

arxiv:1605.05119 v1 · 2016-05-17 · gr-qc · hep-th · 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{FG5K7ZAXZKSMIWJESHXP3J4B7Q}

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

1 paper in Pith

Pattern of perturbations from a coherent quantum inflationary horizon

Receipt and verification

First computed	2026-05-18T01:14:37.308260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29baafe417caa4c4592491eefda781fc2de8fd6e824e7b511f2cd4daada20ccf

Aliases

arxiv: 1605.05119 · arxiv_version: 1605.05119v1 · doi: 10.48550/arxiv.1605.05119 · pith_short_12: FG5K7ZAXZKSM · pith_short_16: FG5K7ZAXZKSMIWJE · pith_short_8: FG5K7ZAX

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/FG5K7ZAXZKSMIWJESHXP3J4B7Q \
  | 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: 29baafe417caa4c4592491eefda781fc2de8fd6e824e7b511f2cd4daada20ccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829eb3c3ba012b2485d252e89697d68e5767a517fed8585d8c8efb54302f43dd",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-05-17T11:43:31Z",
    "title_canon_sha256": "5a4c8a29568f684b0236c6d9529ec8e42afbabfaca94cf9e4534ba93b8e1c96d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05119",
    "kind": "arxiv",
    "version": 1
  }
}