Pith Number

pith:7QUZAZAF

pith:2014:7QUZAZAFDTBTBC5EH36O7OL3AU

not attested not anchored not stored refs pending

Bounded size biased couplings, log concave distributions and concentration of measure for occupancy models

Jay Bartroff, Larry Goldstein, \"Umit I\c{s}lak

arxiv:1402.6769 v3 · 2014-02-27 · math.PR · 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{7QUZAZAFDTBTBC5EH36O7OL3AU}

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	2026-05-18T00:43:48.185376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc299064051cc3308ba43efcefb97b050aeb206005b43522006cfe6e76ffdc30

Aliases

arxiv: 1402.6769 · arxiv_version: 1402.6769v3 · doi: 10.48550/arxiv.1402.6769 · pith_short_12: 7QUZAZAFDTBT · pith_short_16: 7QUZAZAFDTBTBC5E · pith_short_8: 7QUZAZAF

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/7QUZAZAFDTBTBC5EH36O7OL3AU \
  | 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: fc299064051cc3308ba43efcefb97b050aeb206005b43522006cfe6e76ffdc30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e658f77a30c1af1d3205d92d85708459f22a437158becc9d6e306664a0e2403",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-27T02:21:37Z",
    "title_canon_sha256": "3606607410135df360ed0392a0b7cab32017a2b46e91514afdd1743836bc90cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6769",
    "kind": "arxiv",
    "version": 3
  }
}