Pith Number

pith:S33PWG5D

pith:2008:S33PWG5DADDLAQGLJPVNYP7XG2

not attested not anchored not stored refs pending

On almost randomizing channels with a short Kraus decomposition

Guillaume Aubrun (ICJ)

arxiv:0805.2900 v2 · 2008-05-19 · math.PR · math.FA · 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{S33PWG5DADDLAQGLJPVNYP7XG2}

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	2026-05-18T03:13:08.699747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f6fb1ba300c6b040cb4beadc3ff736b58a8841fff30c4374740d96072dcae8

Aliases

arxiv: 0805.2900 · arxiv_version: 0805.2900v2 · doi: 10.48550/arxiv.0805.2900 · pith_short_12: S33PWG5DADDL · pith_short_16: S33PWG5DADDLAQGL · pith_short_8: S33PWG5D

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/S33PWG5DADDLAQGLJPVNYP7XG2 \
  | 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: 96f6fb1ba300c6b040cb4beadc3ff736b58a8841fff30c4374740d96072dcae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b77c093fe59ac59571dc48b2ce37bea1d6fa2be6262e67e9c895d7e49b9d65f",
    "cross_cats_sorted": [
      "math.FA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-05-19T16:38:58Z",
    "title_canon_sha256": "e308c395266a7335f66cbf337e2948b5f73490247295f2480442c8424393ad93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.2900",
    "kind": "arxiv",
    "version": 2
  }
}