Pith Number

pith:36LBWNAB

pith:2003:36LBWNABNVRCJ7F3CUWZITT7M4

not attested not anchored not stored refs pending

Quantum Channels, Wavelets, Dilations and Representations of $O_n$

David W. Kribs

arxiv:math/0309390 v1 · 2003-09-23 · math.OA · 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{36LBWNABNVRCJ7F3CUWZITT7M4}

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

1 paper in Pith

Information storage and transmission under Markovian noise

Receipt and verification

First computed	2026-07-04T14:37:44.715642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df961b34016d6224fcbb152d944e7f6737146a17c1aeb15f467e4a9d33585f3d

Aliases

arxiv: math/0309390 · arxiv_version: math/0309390v1 · doi: 10.48550/arxiv.math/0309390 · pith_short_12: 36LBWNABNVRC · pith_short_16: 36LBWNABNVRCJ7F3 · pith_short_8: 36LBWNAB

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/36LBWNABNVRCJ7F3CUWZITT7M4 \
  | 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: df961b34016d6224fcbb152d944e7f6737146a17c1aeb15f467e4a9d33585f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2b605cbdf671dfb11d0cdf037de712665c96b41869a558d99f9ca890851eb9e",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-09-23T20:03:15Z",
    "title_canon_sha256": "1edd6e814661ad17422f1e63e1426a221e283a67bdff6ddadc4bd4737e7a7f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309390",
    "kind": "arxiv",
    "version": 1
  }
}