Pith Number

pith:Z3HIV4YI

pith:2003:Z3HIV4YI7KTHZIKQYVNZVLAJHV

not attested not anchored not stored refs pending

Picturing Qubits in Phase Space

William K. Wootters

arxiv:quant-ph/0306135 v4 · 2003-06-19 · 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{Z3HIV4YI7KTHZIKQYVNZVLAJHV}

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

Observation of far-from-equilibrium scaling in the transient dynamics of 2D quantum magnets

Receipt and verification

First computed	2026-07-04T14:46:20.274743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cece8af308faa67ca150c55b9aac093d66a13a99138ff7aaa7f6fe4034381818

Aliases

arxiv: quant-ph/0306135 · arxiv_version: quant-ph/0306135v4 · doi: 10.48550/arxiv.quant-ph/0306135 · pith_short_12: Z3HIV4YI7KTH · pith_short_16: Z3HIV4YI7KTHZIKQ · pith_short_8: Z3HIV4YI

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/Z3HIV4YI7KTHZIKQYVNZVLAJHV \
  | 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: cece8af308faa67ca150c55b9aac093d66a13a99138ff7aaa7f6fe4034381818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0593462fd71a246d95a81e2b7bb6fb27638d9c640162567de72e317ea419643e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-06-19T19:28:28Z",
    "title_canon_sha256": "d5063c428c50a59650f8b4ffc957fc3f1fec12230e4b8dbbde10b99559d2a58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0306135",
    "kind": "arxiv",
    "version": 4
  }
}