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Pith Number

pith:Z3WDEXDM

pith:2013:Z3WDEXDMOPIANO3YIDWKVBEGWO
not attested not anchored not stored refs pending

Bayesian Entropy Estimation for Countable Discrete Distributions

Evan Archer, Il Memming Park, Jonathan Pillow

arxiv:1302.0328 v3 · 2013-02-02 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z3WDEXDMOPIANO3YIDWKVBEGWO}

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 2026-05-18T02:54:30.856180Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ceec325c6c73d006bb7840ecaa8486b383500ebd2b1453a67ccd30866f039735

Aliases

arxiv: 1302.0328 · arxiv_version: 1302.0328v3 · doi: 10.48550/arxiv.1302.0328 · pith_short_12: Z3WDEXDMOPIA · pith_short_16: Z3WDEXDMOPIANO3Y · pith_short_8: Z3WDEXDM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z3WDEXDMOPIANO3YIDWKVBEGWO \
  | 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: ceec325c6c73d006bb7840ecaa8486b383500ebd2b1453a67ccd30866f039735
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "551c3a36bd906d426ccadf481eae5429b7c74689eec1172515dd9b2f137504a1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-02-02T01:04:11Z",
    "title_canon_sha256": "38f16cb1dddc5c3ad018765158e5ddcd2d7eb8f1c9ceb5abb544d7e5b40b4f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0328",
    "kind": "arxiv",
    "version": 3
  }
}