Pith Number

pith:WRBWR4YJ

pith:1995:WRBWR4YJWAUQ46JHHX4GSEO2RY

not attested not anchored not stored refs pending

An Operator Derivation of the Path Decomposition Expansion

J. J. Halliwell

arxiv:quant-ph/9506021 v1 · 1995-06-14 · 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{WRBWR4YJWAUQ46JHHX4GSEO2RY}

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	2026-05-18T04:13:05.979962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44368f309b0290e79273df86911da8e31954427ab8da0526b4abd48c125bec1

Aliases

arxiv: quant-ph/9506021 · arxiv_version: quant-ph/9506021v1 · doi: 10.48550/arxiv.quant-ph/9506021 · pith_short_12: WRBWR4YJWAUQ · pith_short_16: WRBWR4YJWAUQ46JH · pith_short_8: WRBWR4YJ

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/WRBWR4YJWAUQ46JHHX4GSEO2RY \
  | 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: b44368f309b0290e79273df86911da8e31954427ab8da0526b4abd48c125bec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "016d373b663ab8df1421c3a80c150c3b1fcbb4ac5138f8ce2f7d111b7aa32622",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1995-06-14T15:20:19Z",
    "title_canon_sha256": "a5c067eafa81249b08c9744cb2eb8278600cdb24ec72d85f5428d1ae6b5ff66f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9506021",
    "kind": "arxiv",
    "version": 1
  }
}