Pith Number

pith:F5JPYZWC

pith:2025:F5JPYZWCVVNLVDS4QTAH63LBHZ

not attested not anchored not stored refs pending

Riemannian Optimization for Holevo Capacity

Bin Gao, Chengkai Zhu, Renfeng Peng, Xin Wang

arxiv:2501.11576 v1 · 2025-01-20 · quant-ph · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5JPYZWCVVNLVDS4QTAH63LBHZ}

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	2026-07-05T10:03:11.060733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f52fc66c2ad5aba8e5c84c07f6d613e4dfef419bbe293b9bd66223ccf5ff989

Aliases

arxiv: 2501.11576 · arxiv_version: 2501.11576v1 · doi: 10.48550/arxiv.2501.11576 · pith_short_12: F5JPYZWCVVNL · pith_short_16: F5JPYZWCVVNLVDS4 · pith_short_8: F5JPYZWC

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/F5JPYZWCVVNLVDS4QTAH63LBHZ \
  | 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: 2f52fc66c2ad5aba8e5c84c07f6d613e4dfef419bbe293b9bd66223ccf5ff989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0639e9dfecf67b0a0026ced68d4d18b13e15efa7cf39b7a4141e527f87306724",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-01-20T16:26:21Z",
    "title_canon_sha256": "c9e9f7c752f08f7a38c585705c970d0e7723fbb396a108864db573c2421479f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11576",
    "kind": "arxiv",
    "version": 1
  }
}