Pith Number

pith:J7VTPV6L

pith:2012:J7VTPV6LN4TPGXJ2NMBCBPXXX4

not attested not anchored not stored refs pending

Relating the quantum mechanics of discrete systems to standard canonical quantum mechanics

Gerard 't Hooft

arxiv:1204.4926 v1 · 2012-04-22 · quant-ph · 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{J7VTPV6LN4TPGXJ2NMBCBPXXX4}

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	2026-05-18T03:57:15.143491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4feb37d7cb6f26f35d3a6b0220bef7bf0a242c2e42d9f6b5171dcfd4e318fc8c

Aliases

arxiv: 1204.4926 · arxiv_version: 1204.4926v1 · doi: 10.48550/arxiv.1204.4926 · pith_short_12: J7VTPV6LN4TP · pith_short_16: J7VTPV6LN4TPGXJ2 · pith_short_8: J7VTPV6L

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/J7VTPV6LN4TPGXJ2NMBCBPXXX4 \
  | 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: 4feb37d7cb6f26f35d3a6b0220bef7bf0a242c2e42d9f6b5171dcfd4e318fc8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430f6b4b0672978f3e74d17e1143e96076f42e8684f2d40df622d4085b98609f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-22T19:18:10Z",
    "title_canon_sha256": "1a6f62f34d7152cacb1c4cd82f61a19887a1e772f0eecba83f2551ef57af2d36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4926",
    "kind": "arxiv",
    "version": 1
  }
}