Pith Number

pith:BBPTVSV3

pith:1997:BBPTVSV3COX4UOUVWYDWRPHAAF

not attested not anchored not stored refs pending

Maximal Abelian Subgroups of the Isometry and Conformal Groups of Euclidean and Minkowski Spaces

Pavel Winternitz, Zora Thomova

arxiv:physics/9707005 v1 · 1997-07-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBPTVSV3COX4UOUVWYDWRPHAAF}

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	2026-05-18T00:38:14.095151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085f3acabb13afca3a95b60768bce001440fd545e45d7a6fdeffa1dc9ec7e6c1

Aliases

arxiv: physics/9707005 · arxiv_version: physics/9707005v1 · doi: 10.48550/arxiv.physics/9707005 · pith_short_12: BBPTVSV3COX4 · pith_short_16: BBPTVSV3COX4UOUV · pith_short_8: BBPTVSV3

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/BBPTVSV3COX4UOUVWYDWRPHAAF \
  | 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: 085f3acabb13afca3a95b60768bce001440fd545e45d7a6fdeffa1dc9ec7e6c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7defc0d7397e26c92ea2f43d03355a819a8eaeb172ee122edcb0281c91b3eb3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1997-07-04T18:57:49Z",
    "title_canon_sha256": "2d6fbecb24d36d1d1b1c5a0c0f21bca4e4e26fd38497a5769e12ba6130e973d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9707005",
    "kind": "arxiv",
    "version": 1
  }
}