Pith Number

pith:VQHOLH5L

pith:2013:VQHOLH5LTX7GA24JXESCJ4BGDH

not attested not anchored not stored refs pending

On degenerate sums of $m$-dependent variables

Svante Janson

arxiv:1312.1563 v1 · 2013-12-05 · 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{VQHOLH5LTX7GA24JXESCJ4BGDH}

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	2026-05-18T03:05:26.888426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0ee59fab9dfe606b89b92424f02619db9ccb49480d6cba66c16a754f3ea68d

Aliases

arxiv: 1312.1563 · arxiv_version: 1312.1563v1 · doi: 10.48550/arxiv.1312.1563 · pith_short_12: VQHOLH5LTX7G · pith_short_16: VQHOLH5LTX7GA24J · pith_short_8: VQHOLH5L

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/VQHOLH5LTX7GA24JXESCJ4BGDH \
  | 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: ac0ee59fab9dfe606b89b92424f02619db9ccb49480d6cba66c16a754f3ea68d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3e0f318cad4ebc5e362230465bda189dd31ca3e3374fd137a78c4e9e8a0a4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-05T14:29:43Z",
    "title_canon_sha256": "135c304a0fa0b0a8d111227a7829f6ecae05028b40fa9cb5dc953941f186bb73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1563",
    "kind": "arxiv",
    "version": 1
  }
}