Pith Number

pith:2T44CEYX

pith:2016:2T44CEYXWZX5SUCQEFYMZOVOTE

not attested not anchored not stored refs pending

Statistical convergence of order $\alpha$ in probability

Pratulananda Das, Sanjoy Ghosal, Sumit Som

arxiv:1605.05555 v1 · 2016-05-18 · 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{2T44CEYXWZX5SUCQEFYMZOVOTE}

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	2026-05-18T01:14:34.611552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f9c11317b66fd950502170ccbaae991cb7fd3794711d6c1f0b8aee7706ae66

Aliases

arxiv: 1605.05555 · arxiv_version: 1605.05555v1 · doi: 10.48550/arxiv.1605.05555 · pith_short_12: 2T44CEYXWZX5 · pith_short_16: 2T44CEYXWZX5SUCQ · pith_short_8: 2T44CEYX

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/2T44CEYXWZX5SUCQEFYMZOVOTE \
  | 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: d4f9c11317b66fd950502170ccbaae991cb7fd3794711d6c1f0b8aee7706ae66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca8be36e32654ca9e1443c02222e367eed04635738dfaa5c5bedfc2ece80881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-18T12:42:59Z",
    "title_canon_sha256": "381ac08569cb5576e814deae6758f0c1933ba9a1f1ea69f158c9509160f4cf4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05555",
    "kind": "arxiv",
    "version": 1
  }
}