Pith Number

pith:JNWVLFMO

pith:2000:JNWVLFMOHK3TYUNCVG3CNL2MMO

not attested not anchored not stored refs pending

Unified approach to quantum capacities: towards quantum noisy coding theorem

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/0003040 v1 · 2000-03-13 · 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{JNWVLFMOHK3TYUNCVG3CNL2MMO}

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	2026-07-04T16:22:18.704392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b6d55958e3ab73c51a2a9b626af4c63b3091e5e539331072cda255489b7f012

Aliases

arxiv: quant-ph/0003040 · arxiv_version: quant-ph/0003040v1 · doi: 10.48550/arxiv.quant-ph/0003040 · pith_short_12: JNWVLFMOHK3T · pith_short_16: JNWVLFMOHK3TYUNC · pith_short_8: JNWVLFMO

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/JNWVLFMOHK3TYUNCVG3CNL2MMO \
  | 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: 4b6d55958e3ab73c51a2a9b626af4c63b3091e5e539331072cda255489b7f012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d91dfe49efd87b6e34df835555709f145bce0732bb35d187b2f54f6a1553400e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-03-13T09:18:22Z",
    "title_canon_sha256": "e0ecf16b5831e1f5660b3624a83c7567344b4181e152c62a0a4303f431b7e331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0003040",
    "kind": "arxiv",
    "version": 1
  }
}