Pith Number

pith:F54YUSUM

pith:2011:F54YUSUMO4EU5F3Y3EQNS5YVCL

not attested not anchored not stored refs pending

Homoclinic groups, IE groups, and expansive algebraic actions

Hanfeng Li, Nhan-Phu Chung

arxiv:1103.1567 v3 · 2011-03-08 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F54YUSUMO4EU5F3Y3EQNS5YVCL}

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	2026-05-18T02:54:13.050467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f798a4a8c77094e9778d920d9771512e5e26c0e1ffb5213a42c2bbd341d304f

Aliases

arxiv: 1103.1567 · arxiv_version: 1103.1567v3 · doi: 10.48550/arxiv.1103.1567 · pith_short_12: F54YUSUMO4EU · pith_short_16: F54YUSUMO4EU5F3Y · pith_short_8: F54YUSUM

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/F54YUSUMO4EU5F3Y3EQNS5YVCL \
  | 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: 2f798a4a8c77094e9778d920d9771512e5e26c0e1ffb5213a42c2bbd341d304f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e12cdb37d7bb9bd712cc2e7663aacbb4ece9165da1fc8eca3dba4b9bee56bd0a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-08T15:58:00Z",
    "title_canon_sha256": "469714341ffa34f5dc58000f647a0cdc456d28694a184e4e2baba901c0dd3ef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1567",
    "kind": "arxiv",
    "version": 3
  }
}