Pith Number

pith:P2BVY7KX

pith:2015:P2BVY7KXKMPF7NWHWSZWQL3FPA

not attested not anchored not stored refs pending

On the $3$-representations of groups and the $2$-categorical Traces

Wei Wang

arxiv:1502.04191 v2 · 2015-02-14 · math.CT · math.GR · 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{P2BVY7KXKMPF7NWHWSZWQL3FPA}

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	2026-05-18T01:21:37.662119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e835c7d57531e5fb6c7b4b3682f657809674aa1bf0c93dbe4a90a6eade8b246

Aliases

arxiv: 1502.04191 · arxiv_version: 1502.04191v2 · doi: 10.48550/arxiv.1502.04191 · pith_short_12: P2BVY7KXKMPF · pith_short_16: P2BVY7KXKMPF7NWH · pith_short_8: P2BVY7KX

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/P2BVY7KXKMPF7NWHWSZWQL3FPA \
  | 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: 7e835c7d57531e5fb6c7b4b3682f657809674aa1bf0c93dbe4a90a6eade8b246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b252fbefc4c1346707343e817e172b184b071dd7c00f0ed18e9744fefa4c8a",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-02-14T11:17:26Z",
    "title_canon_sha256": "f876f823973ddaf3f7a3bad11027b234ee7aab257f482d06066785810b7835f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04191",
    "kind": "arxiv",
    "version": 2
  }
}