Pith Number

pith:VM4FJBCD

pith:2025:VM4FJBCDFQDFFQNWDPY3MXE6IX

not attested not anchored not stored refs pending

Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories

Joost Vercruysse, Ryan Aziz

arxiv:2507.08722 v1 · 2025-07-11 · math.RA · math.CT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VM4FJBCDFQDFFQNWDPY3MXE6IX}

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	2026-07-05T11:35:45.470939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab385484432c0652c1b61bf1b65c9e45f37c8b826265c44ac3e8aeb94fe8de15

Aliases

arxiv: 2507.08722 · arxiv_version: 2507.08722v1 · doi: 10.48550/arxiv.2507.08722 · pith_short_12: VM4FJBCDFQDF · pith_short_16: VM4FJBCDFQDFFQNW · pith_short_8: VM4FJBCD

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/VM4FJBCDFQDFFQNWDPY3MXE6IX \
  | 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: ab385484432c0652c1b61bf1b65c9e45f37c8b826265c44ac3e8aeb94fe8de15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d67c42182b4f50a6516e679f13d44b7d83a4d7424c83bd3c1c906490a29b7620",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-07-11T16:21:54Z",
    "title_canon_sha256": "08f3b38f3ecc371f80c1869561aa7e36e9e4bbaf68413cc6351e8ad2fc4427c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08722",
    "kind": "arxiv",
    "version": 1
  }
}