Pith Number

pith:YNPXJDLB

pith:2005:YNPXJDLBM4CRUMCW5G27AIWSRB

not attested not anchored not stored refs pending

Concavity of the auxiliary function appearing in quantum reliability function an classical-quantum channels

Jun Ichi Fujii, Kenjiro Yanagi, Ritsuo Nakamoto

arxiv:cs/0501057 v1 · 2005-01-22 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNPXJDLBM4CRUMCW5G27AIWSRB}

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	2026-05-18T00:58:26.945043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c35f748d6167051a3056e9b5f022d28868b2d6fe5fe3f10d34483eaadf73b17f

Aliases

arxiv: cs/0501057 · arxiv_version: cs/0501057v1 · doi: 10.48550/arxiv.cs/0501057 · pith_short_12: YNPXJDLBM4CR · pith_short_16: YNPXJDLBM4CRUMCW · pith_short_8: YNPXJDLB

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/YNPXJDLBM4CRUMCW5G27AIWSRB \
  | 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: c35f748d6167051a3056e9b5f022d28868b2d6fe5fe3f10d34483eaadf73b17f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b043afd97094e257daef861eaf73ff145e765c93fd1083c18449dcff397f2f3f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-01-22T01:22:10Z",
    "title_canon_sha256": "8d4ff1b08b8c923e88cd779ad9547399a6a1280badd8947aa7b2d4be3ecee867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0501057",
    "kind": "arxiv",
    "version": 1
  }
}