Pith Number

pith:PZXTIAJU

pith:2026:PZXTIAJUJPBTPJ5JH6SC4OH43I

not attested not anchored not stored refs pending

NeSyCat Torch: A Differentiable Tensor Implementation of Categorical Semantics for Neurosymbolic Learning

Bj\"orn Gehrke, Daniel Romero Schellhorn, Till Mossakowski

arxiv:2606.19279 v1 · 2026-06-17 · cs.AI · cs.LG · cs.LO · math.CT · math.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{PZXTIAJUJPBTPJ5JH6SC4OH43I}

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.

Receipt and verification

First computed	2026-06-19T16:12:09.526335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6f3401344bc337a7a93fa42e38fcda12715fc2609244d4104d734b826df0a4

Aliases

arxiv: 2606.19279 · arxiv_version: 2606.19279v1 · doi: 10.48550/arxiv.2606.19279 · pith_short_12: PZXTIAJUJPBT · pith_short_16: PZXTIAJUJPBTPJ5J · pith_short_8: PZXTIAJU

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/PZXTIAJUJPBTPJ5JH6SC4OH43I \
  | 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: 7e6f3401344bc337a7a93fa42e38fcda12715fc2609244d4104d734b826df0a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c8d797dbb4bfe4bd1cb2a877f8138304dc0da3049397f9b783d0a4e929165c1",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.LO",
      "math.CT",
      "math.LO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-17T16:56:31Z",
    "title_canon_sha256": "aceb53b83ec58e588f14a1920d8d62abfc9ae6b690f666bbe277f60fcd67c97d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19279",
    "kind": "arxiv",
    "version": 1
  }
}