Pith Number

pith:FE3ITH7P

pith:2024:FE3ITH7PXV5BXJPFRFQEOJHD5Y

not attested not anchored not stored refs pending

Extremal models and direct integrals in affine logic

Ita\"i Ben Yaacov, Todor Tsankov, Tom\'as Ibarluc\'ia

arxiv:2407.13344 v2 · 2024-07-18 · math.LO · 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{FE3ITH7PXV5BXJPFRFQEOJHD5Y}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

Free information geometry and the model theory of noncommutative stochastic processes

Receipt and verification

First computed	2026-07-05T09:43:08.699395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2936899fefbd7a1ba5e589604724e3ee2afb324b1ed34856702d1b85ea283638

Aliases

arxiv: 2407.13344 · arxiv_version: 2407.13344v2 · doi: 10.48550/arxiv.2407.13344 · pith_short_12: FE3ITH7PXV5B · pith_short_16: FE3ITH7PXV5BXJPF · pith_short_8: FE3ITH7P

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/FE3ITH7PXV5BXJPFRFQEOJHD5Y \
  | 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: 2936899fefbd7a1ba5e589604724e3ee2afb324b1ed34856702d1b85ea283638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5977b1de91a4b4ac8463c43b587bed64a6344fa8858450db03ddc4df4db87613",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-07-18T09:41:40Z",
    "title_canon_sha256": "cb08d695402eff065474e39634eabb57dead3abfeb59ba55ab6db3aa16c03dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13344",
    "kind": "arxiv",
    "version": 2
  }
}