Pith Number

pith:6522GQQZ

pith:2018:6522GQQZFD4FRQWIBU627BM65S

not attested not anchored not stored refs pending

Precise Limit Theorems for Lacunary Series

Emma Hovhannisyan, Freddy Delbaen

arxiv:1805.04148 v1 · 2018-05-10 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6522GQQZFD4FRQWIBU627BM65S}

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	2026-05-18T00:16:13.484831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f775a3421928f858c2c80d3daf859eecb7dd16d6f26b4a03cf68057ef219cf8c

Aliases

arxiv: 1805.04148 · arxiv_version: 1805.04148v1 · doi: 10.48550/arxiv.1805.04148 · pith_short_12: 6522GQQZFD4F · pith_short_16: 6522GQQZFD4FRQWI · pith_short_8: 6522GQQZ

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/6522GQQZFD4FRQWIBU627BM65S \
  | 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: f775a3421928f858c2c80d3daf859eecb7dd16d6f26b4a03cf68057ef219cf8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b67fd1470318f53e24873a044a8fad230f4dda3e0be0fb5ce31ce65825d24a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-10T19:43:19Z",
    "title_canon_sha256": "e032a51b4305c06c01625f803ac241d020daee729b6eb76a2e1a75b0391c5dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04148",
    "kind": "arxiv",
    "version": 1
  }
}