Pith Number

pith:W7CFN5YZ

pith:2021:W7CFN5YZV6JLGREIQZPDZMHALP

not attested not anchored not stored refs pending

The Black Hole Firewall Transformation and Realism in Quantum Mechanics

Gerard t Hooft

arxiv:2106.11152 v2 · 2021-06-21 · 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{W7CFN5YZV6JLGREIQZPDZMHALP}

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	2026-07-05T05:02:08.969268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c456f719af92b34488865e3cb0e05bf222f914c883a811b31adee822fe9580

Aliases

arxiv: 2106.11152 · arxiv_version: 2106.11152v2 · doi: 10.48550/arxiv.2106.11152 · pith_short_12: W7CFN5YZV6JL · pith_short_16: W7CFN5YZV6JLGREI · pith_short_8: W7CFN5YZ

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/W7CFN5YZV6JLGREIQZPDZMHALP \
  | 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: b7c456f719af92b34488865e3cb0e05bf222f914c883a811b31adee822fe9580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c435022785d818e2b5f35067e148bffdb556766713b7fb73cb17d82a9f454b6",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-21T14:49:17Z",
    "title_canon_sha256": "354df1a16b1fb1ecd904b70a464b4173813fb08ed3f9f95a11f46d7479d0b7f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11152",
    "kind": "arxiv",
    "version": 2
  }
}