Pith Number

pith:YHB2IUCW

pith:2007:YHB2IUCWZIXHMYFV6DP2W2GHUW

not attested not anchored not stored refs pending

Quantum subgroups of a simple quantum group at roots of 1

Gaston Andres Garcia, Nicolas Andruskiewitsch

arxiv:0707.0070 v2 · 2007-06-30 · 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{YHB2IUCWZIXHMYFV6DP2W2GHUW}

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	2026-05-18T03:02:45.162347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1c3a45056ca2e7660b5f0dfab68c7a59266ca224425784da6975a6fc8df4ce2

Aliases

arxiv: 0707.0070 · arxiv_version: 0707.0070v2 · doi: 10.48550/arxiv.0707.0070 · pith_short_12: YHB2IUCWZIXH · pith_short_16: YHB2IUCWZIXHMYFV · pith_short_8: YHB2IUCW

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/YHB2IUCWZIXHMYFV6DP2W2GHUW \
  | 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: c1c3a45056ca2e7660b5f0dfab68c7a59266ca224425784da6975a6fc8df4ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32176eb418feb69f093a7183a8894dca47f65ff6f2cbeecb307338f9d8fe8016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-06-30T15:44:54Z",
    "title_canon_sha256": "967322d1b50e2a5d69092b4341df56ad7445474e72a2ed2f54356d7f43fd787f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0070",
    "kind": "arxiv",
    "version": 2
  }
}