Pith Number

pith:I2VJ7573

pith:2016:I2VJ7573H55HBYF36MAACAHFFM

not attested not anchored not stored refs pending

Categorial Independence and L\'evy Processes

Malte Gerhold, Michael Sch\"urmann, Stephanie Lachs

arxiv:1612.05139 v3 · 2016-12-15 · math.CT · math.PR · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2VJ7573H55HBYF36MAACAHFFM}

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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	2026-07-05T05:04:43.478140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46aa9ff7fb3f7a70e0bbf3000100e52b220a36f9afaf4c0e7e502ce671d73797

Aliases

arxiv: 1612.05139 · arxiv_version: 1612.05139v3 · doi: 10.48550/arxiv.1612.05139 · pith_short_12: I2VJ7573H55H · pith_short_16: I2VJ7573H55HBYF3 · pith_short_8: I2VJ7573

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/I2VJ7573H55HBYF36MAACAHFFM \
  | 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: 46aa9ff7fb3f7a70e0bbf3000100e52b220a36f9afaf4c0e7e502ce671d73797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a836885b829fb3757c726eaed5393179e55e54608d8015c815ee8d4be306f9a8",
    "cross_cats_sorted": [
      "math.PR",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-12-15T16:59:28Z",
    "title_canon_sha256": "4dffa822572aac6e6d7f2bea1beaa4ee5f02fb54d1013dca428f2c3cc4d517b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05139",
    "kind": "arxiv",
    "version": 3
  }
}