Pith Number

pith:PQ7KEK6L

pith:2002:PQ7KEK6LYTRMVWEFGL2CZ4C4O2

not attested not anchored not stored refs pending

Quantum Mechanics as an Approximation to Classical Mechanics in Hilbert Space

A.J. Bracken

arxiv:quant-ph/0210164 v2 · 2002-10-24 · 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{PQ7KEK6LYTRMVWEFGL2CZ4C4O2}

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	2026-05-18T00:50:12.727219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3ea22bcbc4e2cad88532f42cf05c76a78928af2e78c6e3e161686060a920a9

Aliases

arxiv: quant-ph/0210164 · arxiv_version: quant-ph/0210164v2 · doi: 10.48550/arxiv.quant-ph/0210164 · pith_short_12: PQ7KEK6LYTRM · pith_short_16: PQ7KEK6LYTRMVWEF · pith_short_8: PQ7KEK6L

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/PQ7KEK6LYTRMVWEFGL2CZ4C4O2 \
  | 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: 7c3ea22bcbc4e2cad88532f42cf05c76a78928af2e78c6e3e161686060a920a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "433086179d55c86ce3cebbc82e7beca246f7b88088907c5f5d08b9cf9c30e58f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-10-24T04:42:13Z",
    "title_canon_sha256": "f68793596f8552de70d5495e4979dd1b2ba7436e4422d33b47530b4c8b383c44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0210164",
    "kind": "arxiv",
    "version": 2
  }
}