Pith Number

pith:XXF6I2N5

pith:2023:XXF6I2N5SB67KMUE5YLFOZMBPE

not attested not anchored not stored refs pending

Rational approximations of operator monotone and operator convex functions

Hamza Fawzi, Ois\'in Faust

arxiv:2305.12405 v1 · 2023-05-21 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXF6I2N5SB67KMUE5YLFOZMBPE}

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

Semidefinite optimization of the quantum relative entropy of channels

Receipt and verification

First computed	2026-07-05T06:12:10.183141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdcbe469bd907df53284ee165765817934bfc1977d831b21ac7a6dd3364e246d

Aliases

arxiv: 2305.12405 · arxiv_version: 2305.12405v1 · doi: 10.48550/arxiv.2305.12405 · pith_short_12: XXF6I2N5SB67 · pith_short_16: XXF6I2N5SB67KMUE · pith_short_8: XXF6I2N5

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/XXF6I2N5SB67KMUE5YLFOZMBPE \
  | 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: bdcbe469bd907df53284ee165765817934bfc1977d831b21ac7a6dd3364e246d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1652452b9c541c89c34e235059c611a0ec04d3feab795f84a0ec1083bf18dc84",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-05-21T08:54:27Z",
    "title_canon_sha256": "a8c8144fa80f2c1972acd3f6342181952a0e9d73d50f803cac167e9fc6b8a953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.12405",
    "kind": "arxiv",
    "version": 1
  }
}