Pith Number

pith:SMKB3MKK

pith:2013:SMKB3MKKAY4Z6I35P3QOWBTDNR

not attested not anchored not stored refs pending

Functional weak laws for the weighted mean losses or gains and applications

Gane Samb Lo, Pape Djiby Mergane, Serigne Touba Sall

arxiv:1306.5431 v2 · 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{SMKB3MKKAY4Z6I35P3QOWBTDNR}

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	2026-05-18T02:51:23.347175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93141db14a06399f237d7ee0eb06636c5a4bea93cc5c6b5f78f932fbe05d381b

Aliases

arxiv: 1306.5431 · arxiv_version: 1306.5431v2 · doi: 10.48550/arxiv.1306.5431 · pith_short_12: SMKB3MKKAY4Z · pith_short_16: SMKB3MKKAY4Z6I35 · pith_short_8: SMKB3MKK

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/SMKB3MKKAY4Z6I35P3QOWBTDNR \
  | 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: 93141db14a06399f237d7ee0eb06636c5a4bea93cc5c6b5f78f932fbe05d381b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c83b6d15b61830bb594c341c3d3603201bbc864c92b5b62527b28e8427cf86c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-06-23T16:13:39Z",
    "title_canon_sha256": "dd3caf433c7e6e1a4f1c9166a88adf8311f29e4c84cae71d44ae577cc4a323e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5431",
    "kind": "arxiv",
    "version": 2
  }
}