Pith Number

pith:GZ55BRZJ

pith:2004:GZ55BRZJNERRCUWRWB3UEDOTC5

not attested not anchored not stored refs pending

Probabilities from Entanglement, Born's Rule from Envariance

W. H. Zurek

arxiv:quant-ph/0405161 v2 · 2004-05-26 · 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{GZ55BRZJNERRCUWRWB3UEDOTC5}

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

A Finite-Lattice Model from a Reciprocal Cost Action: Spectral and Reflection-Positivity Properties

Receipt and verification

First computed	2026-07-04T16:50:18.479331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367bd0c72969231152d1b077420dd31761f224ad424422255ab80257cb63aabc

Aliases

arxiv: quant-ph/0405161 · arxiv_version: quant-ph/0405161v2 · doi: 10.48550/arxiv.quant-ph/0405161 · pith_short_12: GZ55BRZJNERR · pith_short_16: GZ55BRZJNERRCUWR · pith_short_8: GZ55BRZJ

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/GZ55BRZJNERRCUWRWB3UEDOTC5 \
  | 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: 367bd0c72969231152d1b077420dd31761f224ad424422255ab80257cb63aabc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730eb70f7a0e7041f6ff1759b00351744b1459e577f29e828f0a69e91aa3a880",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-05-26T22:17:40Z",
    "title_canon_sha256": "9a0ca6249d2c4eda2f400cd7ef7549294823b24bcd52b999d0e67a087e6dd91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0405161",
    "kind": "arxiv",
    "version": 2
  }
}