Pith Number

pith:6LCX3RQL

pith:2005:6LCX3RQLMY2PIQEPK6TNV4D25X

not attested not anchored not stored refs pending

Quantum Channels with Memory

Dennis Kretschmann, Reinhard F. Werner

arxiv:quant-ph/0502106 v2 · 2005-02-17 · 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{6LCX3RQLMY2PIQEPK6TNV4D25X}

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

Distinguishing quantum processes with bounded coherent memory

Receipt and verification

First computed	2026-07-04T16:57:30.053405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c57dc60b6634f4408f57a6daf07aedd6def4bed81346c0900f172c870c1a91

Aliases

arxiv: quant-ph/0502106 · arxiv_version: quant-ph/0502106v2 · doi: 10.48550/arxiv.quant-ph/0502106 · pith_short_12: 6LCX3RQLMY2P · pith_short_16: 6LCX3RQLMY2PIQEP · pith_short_8: 6LCX3RQL

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/6LCX3RQLMY2PIQEPK6TNV4D25X \
  | 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: f2c57dc60b6634f4408f57a6daf07aedd6def4bed81346c0900f172c870c1a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ee083d59c2453ac68d31fc295f8e0168a055ef4d45aa1c82be5d3948c1d341",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-02-17T16:33:58Z",
    "title_canon_sha256": "9be8ac99f10be20b4a92541f384c5a1ddb1eb5d095c9b8a2f59311e49809e866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0502106",
    "kind": "arxiv",
    "version": 2
  }
}