Pith Number

pith:UXNF4VSX

pith:2011:UXNF4VSXTA4QS3BKCCJVOESURB

not attested not anchored not stored refs pending

Optimally approximating exponential families

Johannes Rauh

arxiv:1111.0483 v1 · 2011-11-02 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXNF4VSXTA4QS3BKCCJVOESURB}

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	2026-05-18T02:49:39.165358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5da5e56579839096c2a109357125488488edf1e24afe575afd54c9c55064867

Aliases

arxiv: 1111.0483 · arxiv_version: 1111.0483v1 · doi: 10.48550/arxiv.1111.0483 · pith_short_12: UXNF4VSXTA4Q · pith_short_16: UXNF4VSXTA4QS3BK · pith_short_8: UXNF4VSX

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/UXNF4VSXTA4QS3BKCCJVOESURB \
  | 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: a5da5e56579839096c2a109357125488488edf1e24afe575afd54c9c55064867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1392b9cdad072bac8237452a5340f4f2ab6c811d429fe262b0ff331e39926d52",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-11-02T13:03:43Z",
    "title_canon_sha256": "55b2ad48daee5303120ee5fa412b40c8c22081daf4d177dd610699e91d379228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0483",
    "kind": "arxiv",
    "version": 1
  }
}