Pith Number

pith:NUIFXEPX

pith:2009:NUIFXEPX7TY2WRF7DNJ5JJGCF2

not attested not anchored not stored refs pending

Finding the Maximizers of the Information Divergence from an Exponential Family

Johannes Rauh

arxiv:0912.4660 v1 · 2009-12-23 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUIFXEPX7TY2WRF7DNJ5JJGCF2}

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	2026-05-18T02:49:39.198284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d105b91f7fcf1ab44bf1b53d4a4c22ebcfc5b58c501e3ad75c3a146dd60160e

Aliases

arxiv: 0912.4660 · arxiv_version: 0912.4660v1 · doi: 10.48550/arxiv.0912.4660 · pith_short_12: NUIFXEPX7TY2 · pith_short_16: NUIFXEPX7TY2WRF7 · pith_short_8: NUIFXEPX

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/NUIFXEPX7TY2WRF7DNJ5JJGCF2 \
  | 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: 6d105b91f7fcf1ab44bf1b53d4a4c22ebcfc5b58c501e3ad75c3a146dd60160e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c61cf9ac2f38601e7079cd43bd5c2354768fdd6a5b4214a87726854dfd94155",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-12-23T15:03:29Z",
    "title_canon_sha256": "dd23215089e06a2e1ae68d71ad4313b648da52e6100196d20536943fd9e8ddb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4660",
    "kind": "arxiv",
    "version": 1
  }
}