Pith Number

pith:6X3XZCGZ

pith:2016:6X3XZCGZHON7HYV2KGSORDE4GR

not attested not anchored not stored refs pending

Invariance principles for random sums of random variables

Gane Samb Lo

arxiv:1610.02700 v1 · 2016-10-09 · 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{6X3XZCGZHON7HYV2KGSORDE4GR}

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	2026-05-18T01:02:50.913114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f77c88d93b9bf3e2ba51a4e88c9c345c1c5b8d1c22ee5eb773eefb1da08f0b

Aliases

arxiv: 1610.02700 · arxiv_version: 1610.02700v1 · doi: 10.48550/arxiv.1610.02700 · pith_short_12: 6X3XZCGZHON7 · pith_short_16: 6X3XZCGZHON7HYV2 · pith_short_8: 6X3XZCGZ

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/6X3XZCGZHON7HYV2KGSORDE4GR \
  | 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: f5f77c88d93b9bf3e2ba51a4e88c9c345c1c5b8d1c22ee5eb773eefb1da08f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05c37df4fa1270386a8a1b442e73ec3da23f623a737912f624d11559e49e8eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-09T17:32:41Z",
    "title_canon_sha256": "157971bc232fa509eecd0d79987f9e967f04e7c5507ea23420daf857553c03eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02700",
    "kind": "arxiv",
    "version": 1
  }
}