Pith Number

pith:IODET7F5

pith:2014:IODET7F5B5B2F5LECWEFXJK4HH

not attested not anchored not stored refs pending

The Siblings of the Coupon Collector

Aristides V. Doumas, Vassilis G. Papanicolaou

arxiv:1412.4346 v1 · 2014-12-14 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IODET7F5B5B2F5LECWEFXJK4HH}

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	2026-05-18T02:31:19.493310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438649fcbd0f43a2f56415885ba55c39f958e0ab321ebdde6f1211e627f7e0f9

Aliases

arxiv: 1412.4346 · arxiv_version: 1412.4346v1 · doi: 10.48550/arxiv.1412.4346 · pith_short_12: IODET7F5B5B2 · pith_short_16: IODET7F5B5B2F5LE · pith_short_8: IODET7F5

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/IODET7F5B5B2F5LECWEFXJK4HH \
  | 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: 438649fcbd0f43a2f56415885ba55c39f958e0ab321ebdde6f1211e627f7e0f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e2fa75bfbf5b5c42274c779daebdf9e1af843ca5063243dc9bea678caec9f24",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-14T12:20:20Z",
    "title_canon_sha256": "30bb7c629d22abb0a7571ff9d11d03fa520318e62f0a580b3e0862ba255f3275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4346",
    "kind": "arxiv",
    "version": 1
  }
}