Pith Number

pith:IGUE4BRV

pith:2023:IGUE4BRVKSG6YBDU3MPQH6FQKT

not attested not anchored not stored refs pending

Cartesian double theories: A double-categorical framework for categorical doctrines

Evan Patterson, Michael Lambert

arxiv:2310.05384 v3 · 2023-10-09 · 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{IGUE4BRVKSG6YBDU3MPQH6FQKT}

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	2026-07-05T08:05:03.588046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41a84e0635548dec0474db1f03f8b054c8300a0c0946b7f506f2c9c0eeaeb05a

Aliases

arxiv: 2310.05384 · arxiv_version: 2310.05384v3 · doi: 10.48550/arxiv.2310.05384 · pith_short_12: IGUE4BRVKSG6 · pith_short_16: IGUE4BRVKSG6YBDU · pith_short_8: IGUE4BRV

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/IGUE4BRVKSG6YBDU3MPQH6FQKT \
  | 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: 41a84e0635548dec0474db1f03f8b054c8300a0c0946b7f506f2c9c0eeaeb05a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1730ca0d68a0a73792673d4aab38b5a7de71f99dc111b5fe19590e22b3098bda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-10-09T03:45:15Z",
    "title_canon_sha256": "78760bfc810eaa51bdfb5a2dcff7c76c05559d8de8b0f80de51892b9d0f12246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.05384",
    "kind": "arxiv",
    "version": 3
  }
}