Pith Number

pith:YKTOG3A4

pith:2013:YKTOG3A4E6SFCJ7AOACU4NSU7U

not attested not anchored not stored refs pending

Operator log-convex functions and f-divergence functional

Mohsen Kian

arxiv:1305.7308 v2 · 2013-05-31 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKTOG3A4E6SFCJ7AOACU4NSU7U}

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	2026-05-18T02:44:32.261518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a6e36c1c27a45127e070054e3654fd18d00fbdf2eab07adecbb199d5821de2

Aliases

arxiv: 1305.7308 · arxiv_version: 1305.7308v2 · doi: 10.48550/arxiv.1305.7308 · pith_short_12: YKTOG3A4E6SF · pith_short_16: YKTOG3A4E6SFCJ7A · pith_short_8: YKTOG3A4

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/YKTOG3A4E6SFCJ7AOACU4NSU7U \
  | 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: c2a6e36c1c27a45127e070054e3654fd18d00fbdf2eab07adecbb199d5821de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3700c8992e9c151a7dda4e12464cdcd1335af2f695dc3acda1696895236a5b0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-31T06:24:17Z",
    "title_canon_sha256": "f48577749dfbbc88ea46ea201f5b7bacbdbb8cf2853db92a78315dc9701072c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7308",
    "kind": "arxiv",
    "version": 2
  }
}