Pith Number

pith:VDNG4LRG

pith:2012:VDNG4LRGOWOUJKYEDELMGKEMJ4

not attested not anchored not stored refs pending

Solutions to generalized Yang-Baxter equations via ribbon fusion categories

Alexei Kitaev, Zhenghan Wang

arxiv:1203.1063 v2 · 2012-03-05 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDNG4LRGOWOUJKYEDELMGKEMJ4}

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	2026-05-18T01:22:26.816620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8da6e2e26759d44ab041916c3288c4f0b47fed66af366a63c8ce0122033c91d

Aliases

arxiv: 1203.1063 · arxiv_version: 1203.1063v2 · doi: 10.48550/arxiv.1203.1063 · pith_short_12: VDNG4LRGOWOU · pith_short_16: VDNG4LRGOWOUJKYE · pith_short_8: VDNG4LRG

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/VDNG4LRGOWOUJKYEDELMGKEMJ4 \
  | 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: a8da6e2e26759d44ab041916c3288c4f0b47fed66af366a63c8ce0122033c91d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f7577dbe319efbb02f3388ed87726c7e3fdefe5efa662a9c4a5a1d73e46678a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-03-05T22:04:39Z",
    "title_canon_sha256": "6cfa61c188ae07091c74f74f1acdfaa9dcd450fd6ba233437f5eac7f8df0266c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1063",
    "kind": "arxiv",
    "version": 2
  }
}