Pith Number

pith:AWAAZ3AZ

pith:2010:AWAAZ3AZ4UE6L3NLA5CWAJHK6C

not attested not anchored not stored refs pending

Quantum Unipotent Subgroup and dual canonical basis

Yoshiyuki Kimura

arxiv:1010.4242 v1 · 2010-10-20 · 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{AWAAZ3AZ4UE6L3NLA5CWAJHK6C}

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	2026-05-18T02:29:30.244632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05800cec19e509e5edab07456024eaf09cdfddfc73471813af601e2c6a9a70ba

Aliases

arxiv: 1010.4242 · arxiv_version: 1010.4242v1 · doi: 10.48550/arxiv.1010.4242 · pith_short_12: AWAAZ3AZ4UE6 · pith_short_16: AWAAZ3AZ4UE6L3NL · pith_short_8: AWAAZ3AZ

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/AWAAZ3AZ4UE6L3NLA5CWAJHK6C \
  | 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: 05800cec19e509e5edab07456024eaf09cdfddfc73471813af601e2c6a9a70ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b9393c3c86b40990d1bb0d76033a2097f8b75b186d356c3cda821ef2576307",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-10-20T16:20:25Z",
    "title_canon_sha256": "c5d99a274eaec4f26c3d3d1fd8f08a837523422f8c38fd94f951a1024ef132c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4242",
    "kind": "arxiv",
    "version": 1
  }
}