Pith Number

pith:JZLXSJZ5

pith:2011:JZLXSJZ5PI7WGQDP7D7NFME2HH

not attested not anchored not stored refs pending

An Exact Asymptotic for the Square Variation of Partial Sum Processes

Allison Lewko, Mark Lewko

arxiv:1106.0783 v1 · 2011-06-04 · 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{JZLXSJZ5PI7WGQDP7D7NFME2HH}

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	2026-05-18T04:20:39.222948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e5779273d7a3f63406ff8fed2b09a39eea022dcc296592830ea4d7897914feb

Aliases

arxiv: 1106.0783 · arxiv_version: 1106.0783v1 · doi: 10.48550/arxiv.1106.0783 · pith_short_12: JZLXSJZ5PI7W · pith_short_16: JZLXSJZ5PI7WGQDP · pith_short_8: JZLXSJZ5

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/JZLXSJZ5PI7WGQDP7D7NFME2HH \
  | 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: 4e5779273d7a3f63406ff8fed2b09a39eea022dcc296592830ea4d7897914feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6271f2dce3bb770792ed27017308a77a216de8e04bbee9f7dcddd2d86469cffe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-04T02:57:28Z",
    "title_canon_sha256": "a43dd70c9bce38ef4c6dac0c15738ef9105cf5a783d36b29213fa8c29104afde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0783",
    "kind": "arxiv",
    "version": 1
  }
}