Pith Number

pith:HACUGGJX

pith:2010:HACUGGJX5VOMLOX7MYDKOYDEI5

not attested not anchored not stored refs pending

Manin triples and differential operators on quantum groups

Toshiyuki Tanisaki

arxiv:1012.1149 v4 · 2010-12-06 · math.RT · math.QA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HACUGGJX5VOMLOX7MYDKOYDEI5}

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	2026-05-18T03:46:04.065864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3805431937ed5cc5baff6606a76064476aafa4b6156f050d75ac1e54fb02f61f

Aliases

arxiv: 1012.1149 · arxiv_version: 1012.1149v4 · doi: 10.48550/arxiv.1012.1149 · pith_short_12: HACUGGJX5VOM · pith_short_16: HACUGGJX5VOMLOX7 · pith_short_8: HACUGGJX

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/HACUGGJX5VOMLOX7MYDKOYDEI5 \
  | 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: 3805431937ed5cc5baff6606a76064476aafa4b6156f050d75ac1e54fb02f61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9c68669e092bb4167e7e0b1c0479932c353b25af4355c91caa4f0c12d0b323",
    "cross_cats_sorted": [
      "math.QA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-06T12:31:32Z",
    "title_canon_sha256": "bf422c4270c122100eaa24be5c4f8156de5baeef36bb3bcb9d385750c685f5c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1149",
    "kind": "arxiv",
    "version": 4
  }
}