Pith Number

pith:22Y65ZZE

pith:2003:22Y65ZZE4GPOVYSJDFY4ONMSN5

not attested not anchored not stored refs pending

Gaussian Decoherence from Random Spin Environments

F.M. Cucchietti, J.P. Paz, W.H. Zurek

arxiv:quant-ph/0312207 v2 · 2003-12-28 · 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{22Y65ZZE4GPOVYSJDFY4ONMSN5}

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

2 papers in Pith

Learning to count small and clustered objects with application to bacterial colonies

Investigation of cardinality classification for bacterial colony counting using explainable artificial intelligence

Receipt and verification

First computed	2026-05-18T03:24:20.122123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b1eee724e19eeae2491971c735926f4c67ed869f1269775c0d919d9e2cbe5b

Aliases

arxiv: quant-ph/0312207 · arxiv_version: quant-ph/0312207v2 · doi: 10.48550/arxiv.quant-ph/0312207 · pith_short_12: 22Y65ZZE4GPO · pith_short_16: 22Y65ZZE4GPOVYSJ · pith_short_8: 22Y65ZZE

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/22Y65ZZE4GPOVYSJDFY4ONMSN5 \
  | 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: d6b1eee724e19eeae2491971c735926f4c67ed869f1269775c0d919d9e2cbe5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af8ef9afd7b413ea631229ebbdc80b7162fedb5a29c1723a5265a15d590dda4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-12-28T18:11:56Z",
    "title_canon_sha256": "ad242bdd37ca82c9dbd7cdad31c14be7363ae9e09f77fd5ee30f645e784ea41b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0312207",
    "kind": "arxiv",
    "version": 2
  }
}