Pith Number

pith:UJHZ2IX3

pith:2004:UJHZ2IX3TB3UFRV5PVHYXQQCEN

not attested not anchored not stored refs pending

On trace inequalities and their applications to noncommutative communication theory

Kenjiro Yanagi, Ken Kuriyama, Shigeru Furuichi

arxiv:quant-ph/0403187 v2 · 2004-03-26 · 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{UJHZ2IX3TB3UFRV5PVHYXQQCEN}

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	2026-05-18T01:05:03.595083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24f9d22fb987742c6bd7d4f8bc20223548f01797496dfb7ae2f2f337c2c5c64

Aliases

arxiv: quant-ph/0403187 · arxiv_version: quant-ph/0403187v2 · doi: 10.48550/arxiv.quant-ph/0403187 · pith_short_12: UJHZ2IX3TB3U · pith_short_16: UJHZ2IX3TB3UFRV5 · pith_short_8: UJHZ2IX3

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/UJHZ2IX3TB3UFRV5PVHYXQQCEN \
  | 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: a24f9d22fb987742c6bd7d4f8bc20223548f01797496dfb7ae2f2f337c2c5c64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51f2a2671bc7115702e2f88edcb333cd2474c607c52200f23e54904150e06a88",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-26T09:50:11Z",
    "title_canon_sha256": "3d40aaa39140a64ada101d60ee945bc1cff7db4b4d2578b0a75755759db80b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403187",
    "kind": "arxiv",
    "version": 2
  }
}