Pith Number

pith:N3DC4HKM

pith:2010:N3DC4HKMFYCL37UFA65UXFXOBI

not attested not anchored not stored refs pending

On Square Roots of the Haar State on Compact Quantum Groups

Adam Skalski, Reiji Tomatsu, Uwe Franz

arxiv:1012.2004 v2 · 2010-12-09 · 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{N3DC4HKMFYCL37UFA65UXFXOBI}

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	2026-05-18T03:01:33.669899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec62e1d4c2e04bdfe8507bb4b96ee0a34d057d82be1189dffba4472e7c8221d

Aliases

arxiv: 1012.2004 · arxiv_version: 1012.2004v2 · doi: 10.48550/arxiv.1012.2004 · pith_short_12: N3DC4HKMFYCL · pith_short_16: N3DC4HKMFYCL37UF · pith_short_8: N3DC4HKM

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/N3DC4HKMFYCL37UFA65UXFXOBI \
  | 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: 6ec62e1d4c2e04bdfe8507bb4b96ee0a34d057d82be1189dffba4472e7c8221d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb6fb4b1151cf1bd91e32417c3db48bae04318d44a5339cd3037f01da19acee",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-09T13:49:51Z",
    "title_canon_sha256": "b09932125f44eb82842a2cbb531c6bdba94acc179002f23e7db01f3cc3270a8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2004",
    "kind": "arxiv",
    "version": 2
  }
}