Pith Number

pith:624W7VO3

pith:2026:624W7VO3SIT4DT2V2OEIU5QWL5

not attested not anchored not stored refs pending

A cubical formalisation of topos causal models: intervention, sheaf gluing, and the intuitionistic do-calculus

Karen Sargsyan

arxiv:2607.15629 v1 · 2026-07-17 · cs.LO · cs.AI · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{624W7VO3SIT4DT2V2OEIU5QWL5}

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	2026-07-20T01:19:01.138400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b96fd5db9227c1cf55d3888a76165f5293a9920b41c9ff7d22bae4f5eab848

Aliases

arxiv: 2607.15629 · arxiv_version: 2607.15629v1 · doi: 10.48550/arxiv.2607.15629 · pith_short_12: 624W7VO3SIT4 · pith_short_16: 624W7VO3SIT4DT2V · pith_short_8: 624W7VO3

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/624W7VO3SIT4DT2V2OEIU5QWL5 \
  | 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: f6b96fd5db9227c1cf55d3888a76165f5293a9920b41c9ff7d22bae4f5eab848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68a6148ede9e6e8bbae903d752ce97c6e7844d5ce632ec70232718c4a63df14d",
    "cross_cats_sorted": [
      "cs.AI",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-07-17T05:05:31Z",
    "title_canon_sha256": "f5ef1b4604573e8ae97780655313911266327da651e7e7cf64bd4a27df521412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15629",
    "kind": "arxiv",
    "version": 1
  }
}