Pith Number

pith:DNZTR4Y5

pith:2012:DNZTR4Y5CN7UFCFLFS4DT77R6Q

not attested not anchored not stored refs pending

Existence and examples of quantum isometry group for a class of compact metric spaces

Debashish Goswami

arxiv:1205.6099 v4 · 2012-05-28 · math.OA · math.MG · 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{DNZTR4Y5CN7UFCFLFS4DT77R6Q}

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	2026-05-18T02:18:13.887227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7338f31d137f4288ab2cb839fff1f43c2c54b8784fee01d95f25042b78d4f9

Aliases

arxiv: 1205.6099 · arxiv_version: 1205.6099v4 · doi: 10.48550/arxiv.1205.6099 · pith_short_12: DNZTR4Y5CN7U · pith_short_16: DNZTR4Y5CN7UFCFL · pith_short_8: DNZTR4Y5

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/DNZTR4Y5CN7UFCFLFS4DT77R6Q \
  | 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: 1b7338f31d137f4288ab2cb839fff1f43c2c54b8784fee01d95f25042b78d4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de745e8fc5f08ad9a3d9cd613a507038d710c7eb55e55303d5f69bf28a05e66",
    "cross_cats_sorted": [
      "math.MG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-05-28T12:45:05Z",
    "title_canon_sha256": "3f768cef4248f39699af69d8e8f57963a253c2b0912a2889cdcad945145e54e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6099",
    "kind": "arxiv",
    "version": 4
  }
}