Pith Number

pith:4D5TZJFB

pith:2004:4D5TZJFBCI3PTSLIMLYW3XKOOF

not attested not anchored not stored refs pending

An application of a matrix inequality in quantum information theory

C. King

arxiv:quant-ph/0412046 v1 · 2004-12-06 · 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{4D5TZJFBCI3PTSLIMLYW3XKOOF}

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

Riemannian Optimization for Holevo Capacity

Receipt and verification

First computed	2026-07-04T14:46:52.006668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fb3ca4a11236f9c96862f16ddd4e7165abafafb64271358297916bfeee474d

Aliases

arxiv: quant-ph/0412046 · arxiv_version: quant-ph/0412046v1 · doi: 10.48550/arxiv.quant-ph/0412046 · pith_short_12: 4D5TZJFBCI3P · pith_short_16: 4D5TZJFBCI3PTSLI · pith_short_8: 4D5TZJFB

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/4D5TZJFBCI3PTSLIMLYW3XKOOF \
  | 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: e0fb3ca4a11236f9c96862f16ddd4e7165abafafb64271358297916bfeee474d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98571fb346f0fcccf0206cbde55c1ad37fd20223c10b312154a5755e1168cdd0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-12-06T17:27:38Z",
    "title_canon_sha256": "2d3974f04e6623e4e2e4a3edbdb01800a8e0d78fb7f4d6725aad5f920d809d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0412046",
    "kind": "arxiv",
    "version": 1
  }
}