Pith Number

pith:EGJV2ZX7

pith:2013:EGJV2ZX7X7RVB5XXUGCXVWF3WN

not attested not anchored not stored refs pending

A supermartingale argument for characterizing the Functional Hill process weak law for small parameters

Adja Mbarka Fall, Akym Adekpejou, Cheikhna Hamallah Ndiaye, Gane Samb Lo

arxiv:1306.5462 v4 · 2013-06-23 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGJV2ZX7X7RVB5XXUGCXVWF3WN}

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	2026-05-18T00:57:42.829658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21935d66ffbfe350f6f7a1857ad8bbb36a9ee40b9d8f748a540e97773ead9a1f

Aliases

arxiv: 1306.5462 · arxiv_version: 1306.5462v4 · doi: 10.48550/arxiv.1306.5462 · pith_short_12: EGJV2ZX7X7RV · pith_short_16: EGJV2ZX7X7RVB5XX · pith_short_8: EGJV2ZX7

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/EGJV2ZX7X7RVB5XXUGCXVWF3WN \
  | 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: 21935d66ffbfe350f6f7a1857ad8bbb36a9ee40b9d8f748a540e97773ead9a1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6824909c85f1c25a4b90fd929184d8fb6d38d472923a511e44ab32b64a82bd26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-06-23T19:34:42Z",
    "title_canon_sha256": "407c82129ecfe97c7d805711da3f200a5b2a75d6e6cb82df238d967ad39438c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5462",
    "kind": "arxiv",
    "version": 4
  }
}