Pith Number

pith:RIVS2QOF

pith:2023:RIVS2QOFQ673NG4ZJ5SXFPHPYU

not attested not anchored not stored refs pending

Weakly Markov categories and weakly affine monads

Davide Trotta, Fabio Gadducci, Paolo Perrone, Tobias Fritz

arxiv:2303.14049 v2 · 2023-03-24 · math.CT · cs.LO · 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{RIVS2QOFQ673NG4ZJ5SXFPHPYU}

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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

Completeness for Probabilistic Boolean Tapes

Receipt and verification

First computed	2026-07-05T06:59:51.560553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2b2d41c587bfb69b994f6572bcefc51720e92030e565acb967331966bcf6b7

Aliases

arxiv: 2303.14049 · arxiv_version: 2303.14049v2 · doi: 10.48550/arxiv.2303.14049 · pith_short_12: RIVS2QOFQ673 · pith_short_16: RIVS2QOFQ673NG4Z · pith_short_8: RIVS2QOF

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/RIVS2QOFQ673NG4ZJ5SXFPHPYU \
  | 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: 8a2b2d41c587bfb69b994f6572bcefc51720e92030e565acb967331966bcf6b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce5256d3cd014f81194b9d56ad87bd4b833bfee5cfc114df2e870d739a2f5d8",
    "cross_cats_sorted": [
      "cs.LO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-03-24T15:01:05Z",
    "title_canon_sha256": "d544aee689ce0a1beb08142d655edcd399d3f3fbf3b32ad9de044200ee7484ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.14049",
    "kind": "arxiv",
    "version": 2
  }
}