Pith Number

pith:T7LOTQJI

pith:2012:T7LOTQJIKSVKZVBDYHNRNSVUUH

not attested not anchored not stored refs pending

Braid group actions via categorified Heisenberg complexes

Anthony Licata, Joshua Sussan, Sabin Cautis

arxiv:1207.5245 v1 · 2012-07-22 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7LOTQJIKSVKZVBDYHNRNSVUUH}

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	2026-05-17T23:53:36.129681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd6e9c12854aaacd423c1db16cab4a1cef9f8bdbc1fb567975f5e1d6204f42b

Aliases

arxiv: 1207.5245 · arxiv_version: 1207.5245v1 · doi: 10.48550/arxiv.1207.5245 · pith_short_12: T7LOTQJIKSVK · pith_short_16: T7LOTQJIKSVKZVBD · pith_short_8: T7LOTQJI

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/T7LOTQJIKSVKZVBDYHNRNSVUUH \
  | 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: 9fd6e9c12854aaacd423c1db16cab4a1cef9f8bdbc1fb567975f5e1d6204f42b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49ce4d62a97b0e9687d4fae52163a5ee0f2cfbcc93759e360b2b57557cd4a4e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-22T17:30:29Z",
    "title_canon_sha256": "8e7e52d98bce8ffb8b69f0112ae99407357ac0944c1ca75813ba5b36cf72722f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5245",
    "kind": "arxiv",
    "version": 1
  }
}