Pith Number

pith:IK6SE6QQ

pith:2019:IK6SE6QQPUTQL6KXJ3VCAJA62S

not attested not anchored not stored refs pending

Tangent Categories from the Coalgebras of Differential Categories

Jean-Simon Pacaud Lemay, Robin Cockett, Rory B. B. Lucyshyn-Wright

arxiv:1910.05617 v1 · 2019-10-12 · 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{IK6SE6QQPUTQL6KXJ3VCAJA62S}

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	2026-07-05T00:11:40.262667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42bd227a107d2705f9574eea20241ed49a4bbd6d7c00497f81c1fccd0b4e7090

Aliases

arxiv: 1910.05617 · arxiv_version: 1910.05617v1 · doi: 10.48550/arxiv.1910.05617 · pith_short_12: IK6SE6QQPUTQ · pith_short_16: IK6SE6QQPUTQL6KX · pith_short_8: IK6SE6QQ

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/IK6SE6QQPUTQL6KXJ3VCAJA62S \
  | 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: 42bd227a107d2705f9574eea20241ed49a4bbd6d7c00497f81c1fccd0b4e7090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3069702067540b5bee733170600d079d3f37042655805d0b04c65f7df058896c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-10-12T18:26:00Z",
    "title_canon_sha256": "53444207ccf42946a4a5e0443d106d1cc57846f7c0e23041a4ba8810f60efda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.05617",
    "kind": "arxiv",
    "version": 1
  }
}