Pith Number

pith:G6BSA5AK

pith:2016:G6BSA5AKB3DDTL5RBYEMHZCGQ6

not attested not anchored not stored refs pending

An Invariance Principle for Stochastic Series II. Non Gaussian Limits

Lucia Caramellino, Vlad Bally

arxiv:1607.03703 v1 · 2016-07-13 · 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{G6BSA5AKB3DDTL5RBYEMHZCGQ6}

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	2026-05-18T01:11:05.914164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378320740a0ec639afb10e08c3e446878995e108d97294bfe7e39a4210cb2046

Aliases

arxiv: 1607.03703 · arxiv_version: 1607.03703v1 · doi: 10.48550/arxiv.1607.03703 · pith_short_12: G6BSA5AKB3DD · pith_short_16: G6BSA5AKB3DDTL5R · pith_short_8: G6BSA5AK

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/G6BSA5AKB3DDTL5RBYEMHZCGQ6 \
  | 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: 378320740a0ec639afb10e08c3e446878995e108d97294bfe7e39a4210cb2046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6067afa8f9620ac3ac15f17b16c3eea1cc39e3f37b40d5fa6d95bc69f10719",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-13T12:43:15Z",
    "title_canon_sha256": "911264022a40a53194537b814a1797e44621b3b61bd067d772ea0b035235735f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03703",
    "kind": "arxiv",
    "version": 1
  }
}