Pith Number

pith:AK6XICZ7

pith:2016:AK6XICZ7ZDPAFPBVZQ2QPBZO7O

not attested not anchored not stored refs pending

General Central Limit Theorems for Associated Sequences

Gane Samb Lo, Harouna Sangar\'e

arxiv:1610.07101 v2 · 2016-10-22 · 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{AK6XICZ7ZDPAFPBVZQ2QPBZO7O}

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	2026-05-18T01:00:05.271796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02bd740b3fc8de02bc35cc3507872efb90c171c5f408c0a3c8301727c9f26f04

Aliases

arxiv: 1610.07101 · arxiv_version: 1610.07101v2 · doi: 10.48550/arxiv.1610.07101 · pith_short_12: AK6XICZ7ZDPA · pith_short_16: AK6XICZ7ZDPAFPBV · pith_short_8: AK6XICZ7

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/AK6XICZ7ZDPAFPBVZQ2QPBZO7O \
  | 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: 02bd740b3fc8de02bc35cc3507872efb90c171c5f408c0a3c8301727c9f26f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22eeb3e41e8fdb2960ad401cdbac3938b39c76e106c43ac3bf475fa0f7e2745e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-22T22:50:26Z",
    "title_canon_sha256": "4c5057629d5f979c849faa253248dca5fb4e5c31cf925474f793fc385595003c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07101",
    "kind": "arxiv",
    "version": 2
  }
}