Pith Number

pith:3ECEKRE7

pith:2002:3ECEKRE7C3LXQRO6I7XQNZIT37

not attested not anchored not stored refs pending

Dissipative "Groups" and the Bloch Ball

Allan I. Solomon, Cambridge), DAMTP, Open University, Sonia G. Schirmer (Quantum Processes Group

arxiv:quant-ph/0211027 v1 · 2002-11-06 · 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{3ECEKRE7C3LXQRO6I7XQNZIT37}

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	2026-07-04T14:46:03.302188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d90445449f16d77845de47ef06e513dff60d2e6c099b66c72305013995f9cdff

Aliases

arxiv: quant-ph/0211027 · arxiv_version: quant-ph/0211027v1 · doi: 10.48550/arxiv.quant-ph/0211027 · pith_short_12: 3ECEKRE7C3LX · pith_short_16: 3ECEKRE7C3LXQRO6 · pith_short_8: 3ECEKRE7

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/3ECEKRE7C3LXQRO6I7XQNZIT37 \
  | 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: d90445449f16d77845de47ef06e513dff60d2e6c099b66c72305013995f9cdff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42ce96754e236efaa097ca80871dcf27c817da6da807c411ba927398faf3282",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-11-06T15:26:05Z",
    "title_canon_sha256": "e842e8bd12004e55343d3d53239eac065bd06d3f6b5027b9aec86ec6072b7388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0211027",
    "kind": "arxiv",
    "version": 1
  }
}