Pith Number

pith:M7KHV3IN

pith:2007:M7KHV3INDJ7JFRL2QIU2IQYBGC

not attested not anchored not stored refs pending

On Random Unitary Channels

Koenraad M.R. Audenaert, Stefan Scheel

arxiv:0709.0824 v1 · 2007-09-06 · 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{M7KHV3INDJ7JFRL2QIU2IQYBGC}

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	2026-05-18T03:27:21.669288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d47aed0d1a7e92c57a8229a44301308244d782039c4da1e4f58d363822c90c

Aliases

arxiv: 0709.0824 · arxiv_version: 0709.0824v1 · doi: 10.48550/arxiv.0709.0824 · pith_short_12: M7KHV3INDJ7J · pith_short_16: M7KHV3INDJ7JFRL2 · pith_short_8: M7KHV3IN

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/M7KHV3INDJ7JFRL2QIU2IQYBGC \
  | 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: 67d47aed0d1a7e92c57a8229a44301308244d782039c4da1e4f58d363822c90c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edad1df058464263c8252989ce41a647b00658641178166dd3980a57642cc84e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-09-06T10:36:52Z",
    "title_canon_sha256": "6523277b23ee3b84292249415d055417b3520ef91aaff3fc67cbf4a3bc4e08f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0824",
    "kind": "arxiv",
    "version": 1
  }
}