Pith Number

pith:6BJ5TBOU

pith:2023:6BJ5TBOUZFDXGXM5LK2KNAJ56U

not attested not anchored not stored refs pending

Structured and Decorated Cospans from the Viewpoint of Double Category Theory

Evan Patterson (Topos Institute)

arxiv:2304.00447 v3 · 2023-04-02 · 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{6BJ5TBOUZFDXGXM5LK2KNAJ56U}

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	2026-07-05T07:23:56.838105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f053d985d4c947735d9d5ab4a6813df5159795561e80296e8673fc569a473e0e

Aliases

arxiv: 2304.00447 · arxiv_version: 2304.00447v3 · doi: 10.48550/arxiv.2304.00447 · pith_short_12: 6BJ5TBOUZFDX · pith_short_16: 6BJ5TBOUZFDXGXM5 · pith_short_8: 6BJ5TBOU

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/6BJ5TBOUZFDXGXM5LK2KNAJ56U \
  | 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: f053d985d4c947735d9d5ab4a6813df5159795561e80296e8673fc569a473e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e8b0e8036f74909d8ad20f56eccd4b8b096d313595300b4b30ff92bb1520cf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-04-02T04:36:49Z",
    "title_canon_sha256": "80fb536b0f4f17ea35a67ee0e6236921a2e90437e3fefb61f8313142b713e883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.00447",
    "kind": "arxiv",
    "version": 3
  }
}