Pith Number

pith:MFQQZECL

pith:2022:MFQQZECLSELBMZ7LHMNQ5NULTC

not attested not anchored not stored refs pending

Quantum clones inside black holes

Gerard t Hooft

arxiv:2206.04608 v4 · 2022-06-09 · gr-qc · 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{MFQQZECLSELBMZ7LHMNQ5NULTC}

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

Black hole thermodynamics and topology

Receipt and verification

First computed	2026-07-05T04:55:39.272048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61610c904b91161667eb3b1b0eb68b9894faabf27ab9ecf110fe3c7d9eb2baca

Aliases

arxiv: 2206.04608 · arxiv_version: 2206.04608v4 · doi: 10.48550/arxiv.2206.04608 · pith_short_12: MFQQZECLSELB · pith_short_16: MFQQZECLSELBMZ7L · pith_short_8: MFQQZECL

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/MFQQZECLSELBMZ7LHMNQ5NULTC \
  | 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: 61610c904b91161667eb3b1b0eb68b9894faabf27ab9ecf110fe3c7d9eb2baca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41dd9a12f22421f4858b0232598934e809ae1b7c6020c906fbc8b6a50759798b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-06-09T16:55:54Z",
    "title_canon_sha256": "713065af6d596527cba593b6ab1b1b1388ea5f71ed443918f9f0ce26da8eaf85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04608",
    "kind": "arxiv",
    "version": 4
  }
}