Pith Number

pith:67TSUXAF

pith:2019:67TSUXAFKLWGLXBLEJOJ7B7FKW

not attested not anchored not stored refs pending

Efficient algorithms for modifying and sampling from a categorical distribution

Daniel Tang

arxiv:1906.11700 v1 · 2019-06-27 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67TSUXAFKLWGLXBLEJOJ7B7FKW}

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	2026-05-17T23:42:04.058002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e72a5c0552ec65dc2b225c9f87e5559ecc45cb30ee9c4957f6166451f3ccb4

Aliases

arxiv: 1906.11700 · arxiv_version: 1906.11700v1 · doi: 10.48550/arxiv.1906.11700 · pith_short_12: 67TSUXAFKLWG · pith_short_16: 67TSUXAFKLWGLXBL · pith_short_8: 67TSUXAF

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/67TSUXAFKLWGLXBLEJOJ7B7FKW \
  | 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: f7e72a5c0552ec65dc2b225c9f87e5559ecc45cb30ee9c4957f6166451f3ccb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4fee732719c638eb5c3ab83a8012f45fcd53ef43102347c1446a445be02997",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-06-27T14:48:40Z",
    "title_canon_sha256": "4e45bb3cf21f74c77b71d62a6527d622856f7ce98cdf5dedae480f69a7414196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11700",
    "kind": "arxiv",
    "version": 1
  }
}