Pith Number

pith:2GZ3YLZA

pith:2012:2GZ3YLZAVDP7DTWLMH6GBGXAMW

not attested not anchored not stored refs pending

Tail estimates for martingale under "LLN" norming sequence

E. Ostrovsky, L. Sirota

arxiv:1207.1908 v1 · 2012-07-08 · 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{2GZ3YLZAVDP7DTWLMH6GBGXAMW}

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	2026-05-18T03:51:26.643355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b3bc2f20a8dff1cecb61fc609ae0658b646f7475df038eabb183dbee6971b7

Aliases

arxiv: 1207.1908 · arxiv_version: 1207.1908v1 · doi: 10.48550/arxiv.1207.1908 · pith_short_12: 2GZ3YLZAVDP7 · pith_short_16: 2GZ3YLZAVDP7DTWL · pith_short_8: 2GZ3YLZA

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/2GZ3YLZAVDP7DTWLMH6GBGXAMW \
  | 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: d1b3bc2f20a8dff1cecb61fc609ae0658b646f7475df038eabb183dbee6971b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab35645af0634ab25f85a68e714831df8d2c1892df76b5ab6ce4ab83d6fff802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-08T20:15:20Z",
    "title_canon_sha256": "f1dfa5f30ba2fc450b5410106743222f8d3e5a3da81aedab8f325dc8693e12a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1908",
    "kind": "arxiv",
    "version": 1
  }
}