Pith Number

pith:XJYO566W

pith:2015:XJYO566W4323E6BMBX7GW6XIPG

not attested not anchored not stored refs pending

Cram\'er's theorem is atypical

Kavita Ramanan, Nina Gantert, Steven Soojin Kim

arxiv:1508.04402 v2 · 2015-08-18 · 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{XJYO566W4323E6BMBX7GW6XIPG}

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	2026-05-18T01:30:57.841080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba70eefbd6e6f5b2782c0dfe6b7ae879b1c2456b78aac5c5127c10a898c90275

Aliases

arxiv: 1508.04402 · arxiv_version: 1508.04402v2 · doi: 10.48550/arxiv.1508.04402 · pith_short_12: XJYO566W4323 · pith_short_16: XJYO566W4323E6BM · pith_short_8: XJYO566W

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/XJYO566W4323E6BMBX7GW6XIPG \
  | 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: ba70eefbd6e6f5b2782c0dfe6b7ae879b1c2456b78aac5c5127c10a898c90275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ccb2894c55dd93d46179443551d5d154aed20c027e34bb0d87182084047d31f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-18T18:19:18Z",
    "title_canon_sha256": "7dee13216ceee2af42fad11a910066e88aaf8c1953dad58cabb89b9cce8ef58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04402",
    "kind": "arxiv",
    "version": 2
  }
}