Pith Number

pith:K3DUXJNN

pith:2026:K3DUXJNNFHEYEL4VBQ2A4WXIXC

not attested not anchored not stored refs pending

Isoregular theories, accessible 2-categories, and free constructions

Giacomo Tendas, Nicola Gambino

arxiv:2606.26717 v1 · 2026-06-25 · 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{K3DUXJNNFHEYEL4VBQ2A4WXIXC}

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	2026-06-26T01:15:57.839706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c74ba5ad29c9822f950c340e5ae8b8880424cbbf6c9f0e85ee3eaee0ac7804

Aliases

arxiv: 2606.26717 · arxiv_version: 2606.26717v1 · doi: 10.48550/arxiv.2606.26717 · pith_short_12: K3DUXJNNFHEY · pith_short_16: K3DUXJNNFHEYEL4V · pith_short_8: K3DUXJNN

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/K3DUXJNNFHEYEL4VBQ2A4WXIXC \
  | 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: 56c74ba5ad29c9822f950c340e5ae8b8880424cbbf6c9f0e85ee3eaee0ac7804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d6b24b8d71d90ec759e4476d3c2e7f405e38d6f21b192650c5255a8aa50d6ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-25T07:53:41Z",
    "title_canon_sha256": "34abca45347a021d3647b1b488950339128a7e0bb4432011649a02619f62f3e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26717",
    "kind": "arxiv",
    "version": 1
  }
}