Pith Number

pith:6G3PIJVH

pith:2013:6G3PIJVHDD42ZQJZGOXMVAA4DE

not attested not anchored not stored refs pending

Asymptotic distribution for the birthday problem with multiple coincidences, via an embedding of the collision process

J. Kilian, R. Arratia, S. Garibaldi

arxiv:1310.7055 v1 · 2013-10-26 · 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{6G3PIJVHDD42ZQJZGOXMVAA4DE}

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	2026-05-18T01:17:20.937539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1b6f426a718f9acc13933aeca801c1912744bda697cb590a76f445f8ddca36c

Aliases

arxiv: 1310.7055 · arxiv_version: 1310.7055v1 · doi: 10.48550/arxiv.1310.7055 · pith_short_12: 6G3PIJVHDD42 · pith_short_16: 6G3PIJVHDD42ZQJZ · pith_short_8: 6G3PIJVH

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/6G3PIJVHDD42ZQJZGOXMVAA4DE \
  | 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: f1b6f426a718f9acc13933aeca801c1912744bda697cb590a76f445f8ddca36c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e126076ff570eccdfc63cb64e57c7ffa647711d28a11fd612f86f9c4b9dc79c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-26T00:01:39Z",
    "title_canon_sha256": "d04f20ed408dcb377b256dbc4d8a010623eb9a637bd9b37a48ad7d96455d2a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7055",
    "kind": "arxiv",
    "version": 1
  }
}