Pith Number

pith:Z25WT4UU

pith:2012:Z25WT4UUG5MNJMZDJWWFX6QNJN

not attested not anchored not stored refs pending

On a discrete Hill's statistical process based on sum-product statistics and its finite-dimensional asymptotic theory

Gane Samb Lo

arxiv:1203.0685 v1 · 2012-03-03 · 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{Z25WT4UUG5MNJMZDJWWFX6QNJN}

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	2026-05-18T04:00:50.880975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebb69f2943758d4b3234dac5bfa0d4b5f92ac7d1a2ab3b484376952af980741

Aliases

arxiv: 1203.0685 · arxiv_version: 1203.0685v1 · doi: 10.48550/arxiv.1203.0685 · pith_short_12: Z25WT4UUG5MN · pith_short_16: Z25WT4UUG5MNJMZD · pith_short_8: Z25WT4UU

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/Z25WT4UUG5MNJMZDJWWFX6QNJN \
  | 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: cebb69f2943758d4b3234dac5bfa0d4b5f92ac7d1a2ab3b484376952af980741

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d07471dc966fb468292739333c451692de8faf358387aa767e0e8f8a88c0edc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2012-03-03T21:27:52Z",
    "title_canon_sha256": "4eb1a36fe0f009c649f6cee06404a8878a03f6e7ee5b627b36d9b43b78e1cb59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0685",
    "kind": "arxiv",
    "version": 1
  }
}