Pith Number

pith:SQKHGS2P

pith:2009:SQKHGS2PJB7F5HTNGU4Y6YGPUO

not attested not anchored not stored refs pending

On exact representations of the motions group of Galilean plane

Dmitry Efimov, Igor Kostyakov, Vasiliy Kuratov

arxiv:0912.1981 v1 · 2009-12-10 · math.RT · 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{SQKHGS2PJB7F5HTNGU4Y6YGPUO}

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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	2026-07-05T02:08:56.288833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9414734b4f487e5e9e6d35398f60cfa384fd94a37a16fce234d6d9c011299347

Aliases

arxiv: 0912.1981 · arxiv_version: 0912.1981v1 · doi: 10.48550/arxiv.0912.1981 · pith_short_12: SQKHGS2PJB7F · pith_short_16: SQKHGS2PJB7F5HTN · pith_short_8: SQKHGS2P

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/SQKHGS2PJB7F5HTNGU4Y6YGPUO \
  | 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: 9414734b4f487e5e9e6d35398f60cfa384fd94a37a16fce234d6d9c011299347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512f16b5925811df162531081985bf9b9c7171fe3614d65b9442b56f93ef0487",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-12-10T13:30:35Z",
    "title_canon_sha256": "f943fa833cfb3fe4c7fab8b674a72394b6d0020266e200b13536a1b21cebce68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1981",
    "kind": "arxiv",
    "version": 1
  }
}