Pith Number

pith:X7ZRRQZD

pith:2024:X7ZRRQZDZPD3F64XNHKVOMWIV5

not attested not anchored not stored refs pending

Black Hole Firewalls and Quantum Mechanics

Gerard t Hooft

arxiv:2401.16890 v1 · 2024-01-30 · gr-qc · math-ph · math.MP · 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{X7ZRRQZDZPD3F64XNHKVOMWIV5}

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	2026-07-05T07:39:16.583897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff318c323cbc7b2fb9769d55732c8af6777099efe31ee6c490c3cf22b918f04

Aliases

arxiv: 2401.16890 · arxiv_version: 2401.16890v1 · doi: 10.48550/arxiv.2401.16890 · pith_short_12: X7ZRRQZDZPD3 · pith_short_16: X7ZRRQZDZPD3F64X · pith_short_8: X7ZRRQZD

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/X7ZRRQZDZPD3F64XNHKVOMWIV5 \
  | 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: bff318c323cbc7b2fb9769d55732c8af6777099efe31ee6c490c3cf22b918f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53b3c91d0f1d9409921ffc2c700998f1c72346c268541f4c4388a0ba915bae5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-01-30T10:50:56Z",
    "title_canon_sha256": "6af520da09aea727fbf0655d50bbfe967166b14960d39116ccb2462471dfc3cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.16890",
    "kind": "arxiv",
    "version": 1
  }
}