Pith Number

pith:QSQ2TIAG

pith:2017:QSQ2TIAGADIEH56Q4RL6VWQXIL

not attested not anchored not stored refs pending

Smooth dense subalgebras and Fourier multipliers on compact quantum groups

Michael Ruzhansky, Rauan Akylzhanov, Shahn Majid

arxiv:1705.10802 v2 · 2017-05-30 · math.OA · math.FA · 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{QSQ2TIAGADIEH56Q4RL6VWQXIL}

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	2026-05-18T00:07:01.164082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84a1a9a00600d043f7d0e457eada1742c55ca395c8e94e6132db7b80380f88ed

Aliases

arxiv: 1705.10802 · arxiv_version: 1705.10802v2 · doi: 10.48550/arxiv.1705.10802 · pith_short_12: QSQ2TIAGADIE · pith_short_16: QSQ2TIAGADIEH56Q · pith_short_8: QSQ2TIAG

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/QSQ2TIAGADIEH56Q4RL6VWQXIL \
  | 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: 84a1a9a00600d043f7d0e457eada1742c55ca395c8e94e6132db7b80380f88ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a43ca2223fa6df50f34c0a4378b016d69cc80b7a77a40cfe12cad720be57a10",
    "cross_cats_sorted": [
      "math.FA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-05-30T18:00:58Z",
    "title_canon_sha256": "6272ee06b9fac6d2d64a265f2060bc8ea8ef2a3cc90b026eb938b42547409975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10802",
    "kind": "arxiv",
    "version": 2
  }
}