Pith Number

pith:5FYF6BKU

pith:2015:5FYF6BKUYAOU4W5DR74GLKXAU5

not attested not anchored not stored refs pending

Maps on positive definite matrices preserving Bregman and Jensen divergences

D\'aniel Virosztek, J\'ozsef Pitrik, Lajos Moln\'ar

arxiv:1509.02316 v1 · 2015-09-08 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FYF6BKUYAOU4W5DR74GLKXAU5}

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	2026-05-18T01:20:03.476565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9705f0554c01d4e5ba38ff865aae0a74bf6b98e9c371c6359c2845852983f9e

Aliases

arxiv: 1509.02316 · arxiv_version: 1509.02316v1 · doi: 10.48550/arxiv.1509.02316 · pith_short_12: 5FYF6BKUYAOU · pith_short_16: 5FYF6BKUYAOU4W5D · pith_short_8: 5FYF6BKU

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/5FYF6BKUYAOU4W5DR74GLKXAU5 \
  | 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: e9705f0554c01d4e5ba38ff865aae0a74bf6b98e9c371c6359c2845852983f9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5068a7e9a9e3133905a8a4bc195095172fc9dbd923577ef5351f2f72d5bf4fdd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-08T10:43:08Z",
    "title_canon_sha256": "3f1faec439732240bc0d55695905699947e57f3453c34612d5e36e4ad92d4b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02316",
    "kind": "arxiv",
    "version": 1
  }
}