Pith Number

pith:PUJHJ5LF

pith:2010:PUJHJ5LFF3QZE2JGVLBFTIM6CO

not attested not anchored not stored refs pending

On limit distributions of normalized truncated variation, upward truncated variation and downward truncated variation processes

Piotr Mi{\l}o\'s, Rafa{\l} M. {\L}ochowski

arxiv:1011.2977 v4 · 2010-11-12 · 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{PUJHJ5LFF3QZE2JGVLBFTIM6CO}

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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	2026-05-18T03:39:53.317412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1274f5652ee1926926aac259a19e13a86a3d4f106660b71942d6a7d71188ad

Aliases

arxiv: 1011.2977 · arxiv_version: 1011.2977v4 · doi: 10.48550/arxiv.1011.2977 · pith_short_12: PUJHJ5LFF3QZ · pith_short_16: PUJHJ5LFF3QZE2JG · pith_short_8: PUJHJ5LF

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/PUJHJ5LFF3QZE2JGVLBFTIM6CO \
  | 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: 7d1274f5652ee1926926aac259a19e13a86a3d4f106660b71942d6a7d71188ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292ed9915a503c906303ccb92f4eb949f3aab8e453e0ff84dfc411bcd7102b5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-12T16:37:54Z",
    "title_canon_sha256": "11c9b6834dcdb0ff40db1d9e30051e2a0afd58645281359a2e99631e0fc1683d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2977",
    "kind": "arxiv",
    "version": 4
  }
}