Pith Number

pith:IPJLFRPK

pith:2018:IPJLFRPK2T6ZFQLHZCDNZDXRAX

not attested not anchored not stored refs pending

Re-examination of Bregman functions and new properties of their divergences

Alvaro De Pierro, Daniel Reem, Simeon Reich

arxiv:1803.00641 v4 · 2018-03-01 · math.OC · cs.IT · math.IT · physics.data-an · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPJLFRPK2T6ZFQLHZCDNZDXRAX}

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	2026-05-17T23:49:05.935646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43d2b2c5ead4fd92c167c886dc8ef105ffce09166c9feb1402ba146a63a2bcd2

Aliases

arxiv: 1803.00641 · arxiv_version: 1803.00641v4 · doi: 10.48550/arxiv.1803.00641 · pith_short_12: IPJLFRPK2T6Z · pith_short_16: IPJLFRPK2T6ZFQLH · pith_short_8: IPJLFRPK

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/IPJLFRPK2T6ZFQLHZCDNZDXRAX \
  | 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: 43d2b2c5ead4fd92c167c886dc8ef105ffce09166c9feb1402ba146a63a2bcd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a140575afe12989f6213f8e21d7a7bf8cd541d6e4963eac32edfd9db03b429e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "physics.data-an",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-01T21:46:09Z",
    "title_canon_sha256": "6e8b39c59aa4439052a72d52846359f377e192ec3843956693aa6a136a34bce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00641",
    "kind": "arxiv",
    "version": 4
  }
}