Pith Number

pith:4VPVOTUV

pith:2026:4VPVOTUVM3ASO7ITXY67XMXYLK

not attested not anchored not stored refs pending

Weighted-threshold Coupon Collection

Sebastian M\"uller, Stjepan \v{S}ebek

arxiv:2607.08551 v1 · 2026-07-09 · 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{4VPVOTUVM3ASO7ITXY67XMXYLK}

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	2026-07-10T01:19:53.394657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55f574e9566c1277d13be3dfbb2f85aac18030f36c03516d6eda607641f3319

Aliases

arxiv: 2607.08551 · arxiv_version: 2607.08551v1 · doi: 10.48550/arxiv.2607.08551 · pith_short_12: 4VPVOTUVM3AS · pith_short_16: 4VPVOTUVM3ASO7IT · pith_short_8: 4VPVOTUV

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/4VPVOTUVM3ASO7ITXY67XMXYLK \
  | 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: e55f574e9566c1277d13be3dfbb2f85aac18030f36c03516d6eda607641f3319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc96db80a8ed16d911fb8f1541bd03daa70c58f8023cf175cb2ebf831983e95d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-09T14:42:55Z",
    "title_canon_sha256": "743290ec6f44225ab50464a816950681e46f32368e84b005c299c465b125f5be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08551",
    "kind": "arxiv",
    "version": 1
  }
}