Pith Number

pith:YZL7H6I6

pith:2019:YZL7H6I6HBBZHTUJ7CGLZYTYLU

not attested not anchored not stored refs pending

A Short Note on the Average Maximal Number of Balls in a Bin

Marcus Michelen

arxiv:1905.08933 v1 · 2019-05-22 · math.CO · 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{YZL7H6I6HBBZHTUJ7CGLZYTYLU}

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	2026-05-17T23:45:24.822307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c657f3f91e384393ce89f88cbce2785d08cfc802edf3694e47e7ac39f248d15e

Aliases

arxiv: 1905.08933 · arxiv_version: 1905.08933v1 · doi: 10.48550/arxiv.1905.08933 · pith_short_12: YZL7H6I6HBBZ · pith_short_16: YZL7H6I6HBBZHTUJ · pith_short_8: YZL7H6I6

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/YZL7H6I6HBBZHTUJ7CGLZYTYLU \
  | 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: c657f3f91e384393ce89f88cbce2785d08cfc802edf3694e47e7ac39f248d15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a61cd78bf08dd4a045769107ff6b2b8028c8f0745544808ddaf64bf1c8c4d8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-22T03:07:51Z",
    "title_canon_sha256": "58a4d087644fca402c656116e4af34a9420852c0d740a29efba790204d8f7682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08933",
    "kind": "arxiv",
    "version": 1
  }
}