Pith Number

pith:IDZKBKUK

pith:2000:IDZKBKUKJLPGYYWTPGTLERS2RA

not attested not anchored not stored refs pending

On some additivity problems in quantum information theory

A. S. Holevo, G. G. Amosov, R. F. Werner

arxiv:math-ph/0003002 v2 · 2000-03-04 · math-ph · math.MP · 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{IDZKBKUKJLPGYYWTPGTLERS2RA}

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	2026-07-04T14:33:34.794629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f2a0aa8a4ade6c62d379a6b2465a8826881d1a688b1b897f3d94464f4bd227

Aliases

arxiv: math-ph/0003002 · arxiv_version: math-ph/0003002v2 · doi: 10.48550/arxiv.math-ph/0003002 · pith_short_12: IDZKBKUKJLPG · pith_short_16: IDZKBKUKJLPGYYWT · pith_short_8: IDZKBKUK

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/IDZKBKUKJLPGYYWTPGTLERS2RA \
  | 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: 40f2a0aa8a4ade6c62d379a6b2465a8826881d1a688b1b897f3d94464f4bd227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5386ee13f4d441306d03020ec726fbd983fabefdd6def03848584aa74eca6be7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-03-04T06:43:26Z",
    "title_canon_sha256": "22ac228e2b58d1f096181b21d92d336d746baa79c31a804ad99c6fdd6496394a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0003002",
    "kind": "arxiv",
    "version": 2
  }
}