Pith Number

pith:CJ54ABWP

pith:2009:CJ54ABWPD2CT7I453IIZHL6T7K

not attested not anchored not stored refs pending

Applications of Foelner's condition to quantum groups

Andreas Thom, David Kyed

arxiv:0912.0166 v2 · 2009-12-01 · math.OA · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJ54ABWPD2CT7I453IIZHL6T7K}

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	2026-05-18T04:22:31.987068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127bc006cf1e853fa39dda1193afd3fa86f9086bbcda55c5ac4624d07498cd9b

Aliases

arxiv: 0912.0166 · arxiv_version: 0912.0166v2 · doi: 10.48550/arxiv.0912.0166 · pith_short_12: CJ54ABWPD2CT · pith_short_16: CJ54ABWPD2CT7I45 · pith_short_8: CJ54ABWP

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/CJ54ABWPD2CT7I453IIZHL6T7K \
  | 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: 127bc006cf1e853fa39dda1193afd3fa86f9086bbcda55c5ac4624d07498cd9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e979cf77e450678c3b471b42e19d709531895b164413a53dcd0ad56a21a51ed1",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-12-01T14:49:58Z",
    "title_canon_sha256": "c02d1492cce1f7bf8069ee30bc915825a1a01081a190a5e0e31e44e59dd8d71c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0166",
    "kind": "arxiv",
    "version": 2
  }
}