Pith Number

pith:26EIVZ6A

pith:2019:26EIVZ6AR33L4XOT3YN7OQ7TMQ

not attested not anchored not stored refs pending

Kantorovich problems and conditional measures depending on a parameter

Il'ya Malofeev, Vladimir Bogachev

arxiv:1904.03642 v2 · 2019-04-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26EIVZ6AR33L4XOT3YN7OQ7TMQ}

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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.

Cited by

1 paper in Pith

A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics

Receipt and verification

First computed	2026-05-17T23:41:36.385375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7888ae7c08ef6be5dd3de1bf743f3642e64329f0a8a5a3ab008fac151b09541

Aliases

arxiv: 1904.03642 · arxiv_version: 1904.03642v2 · doi: 10.48550/arxiv.1904.03642 · pith_short_12: 26EIVZ6AR33L · pith_short_16: 26EIVZ6AR33L4XOT · pith_short_8: 26EIVZ6A

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/26EIVZ6AR33L4XOT3YN7OQ7TMQ \
  | 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: d7888ae7c08ef6be5dd3de1bf743f3642e64329f0a8a5a3ab008fac151b09541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c3381448554c7ecb6755fb757a568259a02e4beeff4a15c821d4a0a587d504e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-07T12:52:05Z",
    "title_canon_sha256": "4d6648e98d8074bd431b9d9aac4be55a7534cb97cfce21b1d24aa22ae0642648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03642",
    "kind": "arxiv",
    "version": 2
  }
}