Pith Number

pith:MUJMKDF6

pith:2013:MUJMKDF6R2EF6QCXLEDZ6ZLAPC

not attested not anchored not stored refs pending

An integral with respect to probabilistic-valued decomposable measures

Lenka Hal\v{c}inov\'a, Ondrej Hutn\'ik

arxiv:1309.5713 v2 · 2013-09-23 · math.PR · math.CA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUJMKDF6R2EF6QCXLEDZ6ZLAPC}

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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	2026-05-18T02:34:45.085634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6512c50cbe8e885f405759079f656078a0dca6fca23345fb661bb77afe1178d0

Aliases

arxiv: 1309.5713 · arxiv_version: 1309.5713v2 · doi: 10.48550/arxiv.1309.5713 · pith_short_12: MUJMKDF6R2EF · pith_short_16: MUJMKDF6R2EF6QCX · pith_short_8: MUJMKDF6

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/MUJMKDF6R2EF6QCXLEDZ6ZLAPC \
  | 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: 6512c50cbe8e885f405759079f656078a0dca6fca23345fb661bb77afe1178d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f244ea41cf88cae872b78fc47fc0fd24ff7b9910e40f583d8afaea31f1067bd",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-23T07:12:01Z",
    "title_canon_sha256": "c570bd8083ea36da2ae02fbed7c1f7c52d882aa3bae3311526fb8c228d8eb8ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5713",
    "kind": "arxiv",
    "version": 2
  }
}