Pith Number

pith:TJAXRMH4

pith:2012:TJAXRMH4YMQRKA2XTBESYMMXKQ

not attested not anchored not stored refs pending

Invariant subsets under compact quantum group actions

Huichi Huang

arxiv:1210.5782 v3 · 2012-10-21 · math.OA · 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{TJAXRMH4YMQRKA2XTBESYMMXKQ}

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	2026-05-18T01:26:58.698249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4178b0fcc32115035798492c31975421443ca013e9476fab747ad6d16f3e1d

Aliases

arxiv: 1210.5782 · arxiv_version: 1210.5782v3 · doi: 10.48550/arxiv.1210.5782 · pith_short_12: TJAXRMH4YMQR · pith_short_16: TJAXRMH4YMQRKA2X · pith_short_8: TJAXRMH4

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/TJAXRMH4YMQRKA2XTBESYMMXKQ \
  | 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: 9a4178b0fcc32115035798492c31975421443ca013e9476fab747ad6d16f3e1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d569d77f0fdbb85835726ca8a1dae723b3a319b9e8d3bd8c6dcd5fc7cae271",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-21T23:59:28Z",
    "title_canon_sha256": "2ec2e1602b54ee2b94e325c4d868e663b0422c582184176677358c03d9da1627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5782",
    "kind": "arxiv",
    "version": 3
  }
}