Pith Number

pith:TDX5GSXB

pith:2011:TDX5GSXBVSDWUIZ64IK2GAJJ45

not attested not anchored not stored refs pending

Normally contracting Lie group actions

Shigenori Matsumoto, Takashi Inaba, Yoshihiko Mitsumatsu

arxiv:1104.3638 v3 · 2011-04-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDX5GSXBVSDWUIZ64IK2GAJJ45}

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	2026-05-18T04:00:26.817617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98efd34ae1ac876a233ee215a30129e750194902ba5b51edcb5a9605aea314d3

Aliases

arxiv: 1104.3638 · arxiv_version: 1104.3638v3 · doi: 10.48550/arxiv.1104.3638 · pith_short_12: TDX5GSXBVSDW · pith_short_16: TDX5GSXBVSDWUIZ6 · pith_short_8: TDX5GSXB

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/TDX5GSXBVSDWUIZ64IK2GAJJ45 \
  | 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: 98efd34ae1ac876a233ee215a30129e750194902ba5b51edcb5a9605aea314d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2f1def9887d8326e0f31de91e6b5e54a219d9e179f5434e4fd523ea4c2e18b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-04-19T04:48:44Z",
    "title_canon_sha256": "2a573af51b2ed20464c313f21a6b55b5cd8fd2f26c74e5b28a3bdf5ad2cebbcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3638",
    "kind": "arxiv",
    "version": 3
  }
}