Pith Number

pith:ZZ62HVUR

pith:2019:ZZ62HVURVOVW5OBNPYXMCBGCKB

not attested not anchored not stored refs pending

On Occupancy Moments and Bloom Filter Efficiency

Jonathan Burns

arxiv:1908.04810 v1 · 2019-08-13 · math.CO · cs.DS · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZ62HVURVOVW5OBNPYXMCBGCKB}

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	2026-07-04T23:55:57.119161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7da3d691abab6eb82d7e2ec104c25064f8003555ee4257a7ead3c79c2577f2

Aliases

arxiv: 1908.04810 · arxiv_version: 1908.04810v1 · doi: 10.48550/arxiv.1908.04810 · pith_short_12: ZZ62HVURVOVW · pith_short_16: ZZ62HVURVOVW5OBN · pith_short_8: ZZ62HVUR

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/ZZ62HVURVOVW5OBNPYXMCBGCKB \
  | 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: ce7da3d691abab6eb82d7e2ec104c25064f8003555ee4257a7ead3c79c2577f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e22f3947f9181fb6a12ad102c9dccde38dece15a68b89cb81e022643f25bf9",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-13T18:21:04Z",
    "title_canon_sha256": "6afc3fe06d75317d995a2a1fa9b40f310a9a5485ed692c38392e46425896f702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04810",
    "kind": "arxiv",
    "version": 1
  }
}