Pith Number

pith:WAYBXNSJ

pith:2026:WAYBXNSJ6ABMXUQ2BWOLXEIINK

not attested not anchored not stored refs pending

Radial Transform Extremality for the Siblings of the Coupon Collector

Christopher D. Long

arxiv:2606.31391 v1 · 2026-06-30 · 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{WAYBXNSJ6ABMXUQ2BWOLXEIINK}

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	2026-07-01T01:18:01.675636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0301bb649f002cbd21a0d9cbb91086abb86d1102a0bbdf6d422a67cff48554d

Aliases

arxiv: 2606.31391 · arxiv_version: 2606.31391v1 · doi: 10.48550/arxiv.2606.31391 · pith_short_12: WAYBXNSJ6ABM · pith_short_16: WAYBXNSJ6ABMXUQ2 · pith_short_8: WAYBXNSJ

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/WAYBXNSJ6ABMXUQ2BWOLXEIINK \
  | 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: b0301bb649f002cbd21a0d9cbb91086abb86d1102a0bbdf6d422a67cff48554d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc2f1c3d32fbdc3c0fffa53ed537bc0ed3dff61d3425771db835a896e4c91d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-30T09:19:30Z",
    "title_canon_sha256": "801a5de2d58faf538eb335ce186b3c4cbeee45197fa55f47064b5de224fa7196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31391",
    "kind": "arxiv",
    "version": 1
  }
}