Pith Number

pith:P3DJFUHZ

pith:2009:P3DJFUHZGDZYHXAM4FG7TNGS76

not attested not anchored not stored refs pending

Some counterexamples in the theory of quantum isometry groups

Debashish Goswami, Jyotishman Bhowmick

arxiv:0910.4713 v1 · 2009-10-25 · 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{P3DJFUHZGDZYHXAM4FG7TNGS76}

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	2026-05-18T02:11:11.841979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec692d0f930f383dc0ce14df9b4d2ff98ef8d3e76b45b693a6e8f8fcbaf66da

Aliases

arxiv: 0910.4713 · arxiv_version: 0910.4713v1 · doi: 10.48550/arxiv.0910.4713 · pith_short_12: P3DJFUHZGDZY · pith_short_16: P3DJFUHZGDZYHXAM · pith_short_8: P3DJFUHZ

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/P3DJFUHZGDZYHXAM4FG7TNGS76 \
  | 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: 7ec692d0f930f383dc0ce14df9b4d2ff98ef8d3e76b45b693a6e8f8fcbaf66da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd539d15910a908dbeeec19b2b78154e7c577fdd7611fc79cc0cef494ee6882",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-10-25T08:45:57Z",
    "title_canon_sha256": "7ac9b123750c558ae0b6f5f32d249a5e0c4c13641212f4c531c8319d56b7cca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4713",
    "kind": "arxiv",
    "version": 1
  }
}