Pith Number

pith:2KWPVAJ3

pith:2004:2KWPVAJ32Z2YQIWWZ662BC4XS3

not attested not anchored not stored refs pending

Decoherence-full subsystems and the cryptographic power of a private shared reference frame

Robert W. Spekkens, Stephen D. Bartlett, Terry Rudolph

arxiv:quant-ph/0403161 v2 · 2004-03-23 · 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{2KWPVAJ32Z2YQIWWZ662BC4XS3}

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	2026-07-04T14:46:33.278536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2acfa813bd6758822d6cfbda08b9796ddcefe978bcb27740b53ed2043750bcd

Aliases

arxiv: quant-ph/0403161 · arxiv_version: quant-ph/0403161v2 · doi: 10.48550/arxiv.quant-ph/0403161 · pith_short_12: 2KWPVAJ32Z2Y · pith_short_16: 2KWPVAJ32Z2YQIWW · pith_short_8: 2KWPVAJ3

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/2KWPVAJ32Z2YQIWWZ662BC4XS3 \
  | 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: d2acfa813bd6758822d6cfbda08b9796ddcefe978bcb27740b53ed2043750bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9799a469a13cad10567afafeb6ecf61282e805b58f212cc84fa3a928e4856ce3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-23T07:17:44Z",
    "title_canon_sha256": "bd0a053182b13ed80fe84012ca58f9ac1de229a9bcd2649cb8b55bc50b80c649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403161",
    "kind": "arxiv",
    "version": 2
  }
}