Pith Number

pith:5R2L6AT2

pith:2006:5R2L6AT2N3GTGTEXY77RXQ6A22

not attested not anchored not stored refs pending

The Born Rule in Quantum and Classical Mechanics

Jiangbin Gong, Paul Brumer

arxiv:quant-ph/0604178 v1 · 2006-04-24 · 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{5R2L6AT2N3GTGTEXY77RXQ6A22}

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	2026-07-04T17:02:59.858175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec74bf027a6ecd334c97c7ff1bc3c0d683469d3ebbe9487f5be7d760db5d558a

Aliases

arxiv: quant-ph/0604178 · arxiv_version: quant-ph/0604178v1 · doi: 10.48550/arxiv.quant-ph/0604178 · pith_short_12: 5R2L6AT2N3GT · pith_short_16: 5R2L6AT2N3GTGTEX · pith_short_8: 5R2L6AT2

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/5R2L6AT2N3GTGTEXY77RXQ6A22 \
  | 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: ec74bf027a6ecd334c97c7ff1bc3c0d683469d3ebbe9487f5be7d760db5d558a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0a382f86ace5e1c122fb64976c5cc7ef6a338496ff95ca29b3bd2cfc017249",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-04-24T14:37:43Z",
    "title_canon_sha256": "76894e3a9f94a61ad5dcac9b3af70e0856cc45317aa983e14d20ee429aaf161f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0604178",
    "kind": "arxiv",
    "version": 1
  }
}