Pith Number

pith:K5LYNISP

pith:2011:K5LYNISPQDMMEJX32PLLHQGQLX

not attested not anchored not stored refs pending

Asymptotics for Weighted Random Sums

Mariana Olvera-Cravioto

arxiv:1102.0301 v3 · 2011-02-01 · 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{K5LYNISPQDMMEJX32PLLHQGQLX}

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	2026-05-18T03:57:50.620111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575786a24f80d8c226fbd3d6b3c0d05df4e45d058cbe785a8293aa84da7d0823

Aliases

arxiv: 1102.0301 · arxiv_version: 1102.0301v3 · doi: 10.48550/arxiv.1102.0301 · pith_short_12: K5LYNISPQDMM · pith_short_16: K5LYNISPQDMMEJX3 · pith_short_8: K5LYNISP

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/K5LYNISPQDMMEJX32PLLHQGQLX \
  | 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: 575786a24f80d8c226fbd3d6b3c0d05df4e45d058cbe785a8293aa84da7d0823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fac8c9a9ac63eabc3fe4b6cb94b18d2a9491d2a8c3e968a509bb88297188bdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-01T21:28:20Z",
    "title_canon_sha256": "9a272e11d7e7bab9047bf3495315b10fe3e2289fdaa9bf7f7241babf6245d741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0301",
    "kind": "arxiv",
    "version": 3
  }
}