Pith Number

pith:APO6GIYN

pith:2026:APO6GIYNY7KVVFVR6O3OZPVKIR

not attested not anchored not stored refs pending

Two Multi--Draw Coupon Collector models with different retention rules

Aristides V. Doumas, S. Spektor

arxiv:2607.01463 v1 · 2026-07-01 · 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{APO6GIYNY7KVVFVR6O3OZPVKIR}

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.

Cited by

1 paper in Pith

Weighted-threshold Coupon Collection

Receipt and verification

First computed	2026-07-03T00:17:00.899368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03dde3230dc7d55a96b1f3b6ecbeaa444cd5ac1e58d7152f48b39393fd246909

Aliases

arxiv: 2607.01463 · arxiv_version: 2607.01463v1 · doi: 10.48550/arxiv.2607.01463 · pith_short_12: APO6GIYNY7KV · pith_short_16: APO6GIYNY7KVVFVR · pith_short_8: APO6GIYN

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/APO6GIYNY7KVVFVR6O3OZPVKIR \
  | 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: 03dde3230dc7d55a96b1f3b6ecbeaa444cd5ac1e58d7152f48b39393fd246909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f5afe6fe3f3ac5e23628be1817c62fab318456ad1bcf570fa0643f0325364a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-01T20:47:49Z",
    "title_canon_sha256": "4e841392bad882cf9f8b142b9586aefc9846af12d15aad97549fc184c73e1640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01463",
    "kind": "arxiv",
    "version": 1
  }
}