Pith Number

pith:AE4F3FGC

pith:2019:AE4F3FGCDVRP6IOUABEXE5RRVR

not attested not anchored not stored refs pending

On the Average Maximal Number of Balls in a Bin Resulting from Throwing r Balls into n Bins T times

Amir Behrouzi-Far, Doron Zeilberger

arxiv:1905.07827 v2 · 2019-05-19 · 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{AE4F3FGCDVRP6IOUABEXE5RRVR}

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

Redundancy Scheduling in Systems with Bi-Modal Job Service Time Distribution

Receipt and verification

First computed	2026-05-17T23:45:19.769475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01385d94c21d62ff21d40049727631ac7df408f2747f5c7024ac9762312e909b

Aliases

arxiv: 1905.07827 · arxiv_version: 1905.07827v2 · doi: 10.48550/arxiv.1905.07827 · pith_short_12: AE4F3FGCDVRP · pith_short_16: AE4F3FGCDVRP6IOU · pith_short_8: AE4F3FGC

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/AE4F3FGCDVRP6IOUABEXE5RRVR \
  | 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: 01385d94c21d62ff21d40049727631ac7df408f2747f5c7024ac9762312e909b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c2b295af5b7f70e22797d27845bdfefa4e0f33cc331c502cc6765840dd57a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-19T23:24:19Z",
    "title_canon_sha256": "9f5385795f2d18b6e37b01f582c6ce96ed8d22e4509a27d6dcb41b2efbd12a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07827",
    "kind": "arxiv",
    "version": 2
  }
}