Pith Number

pith:633PCPDI

pith:2012:633PCPDISJQGYYVZEMIH6SK2KC

not attested not anchored not stored refs pending

Cocycle Twists and Extensions of Braided Doubles

Arkady Berenstein, Yuri Bazlov

arxiv:1211.5279 v2 · 2012-11-22 · 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{633PCPDISJQGYYVZEMIH6SK2KC}

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	2026-05-18T03:34:02.676807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f6f13c6892606c62b923107f495a50b28c38bd9310a5de4c78d432f0e7d50b

Aliases

arxiv: 1211.5279 · arxiv_version: 1211.5279v2 · doi: 10.48550/arxiv.1211.5279 · pith_short_12: 633PCPDISJQG · pith_short_16: 633PCPDISJQGYYVZ · pith_short_8: 633PCPDI

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/633PCPDISJQGYYVZEMIH6SK2KC \
  | 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: f6f6f13c6892606c62b923107f495a50b28c38bd9310a5de4c78d432f0e7d50b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acfe2ba8b00403831d4aea90b00fa731b6a89dc95c55bcf3972614c9387b9a72",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-11-22T13:17:42Z",
    "title_canon_sha256": "13a8f709f24b7b8a235b7399b9c52020ec7927e2f4b0da220262540d69984c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5279",
    "kind": "arxiv",
    "version": 2
  }
}