Pith Number

pith:CYFLQXZS

pith:2016:CYFLQXZSYH3WTVIYUJ3M4E7TZT

not attested not anchored not stored refs pending

The centralizer of Komuro-expansive flows and expansive R^d-actions

Jorge Rocha, Paulo Varandas, Wescley Bonomo

arxiv:1604.06516 v2 · 2016-04-22 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYFLQXZSYH3WTVIYUJ3M4E7TZT}

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	2026-05-18T00:32:36.552305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

160ab85f32c1f769d518a276ce13f3ccd6c810201cab722f32d0b5c9a8a1c0ef

Aliases

arxiv: 1604.06516 · arxiv_version: 1604.06516v2 · doi: 10.48550/arxiv.1604.06516 · pith_short_12: CYFLQXZSYH3W · pith_short_16: CYFLQXZSYH3WTVIY · pith_short_8: CYFLQXZS

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/CYFLQXZSYH3WTVIYUJ3M4E7TZT \
  | 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: 160ab85f32c1f769d518a276ce13f3ccd6c810201cab722f32d0b5c9a8a1c0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae14b8031c126b25e595c716cf04166d408d93832e6fe815903d5a3a044936c7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-22T00:55:45Z",
    "title_canon_sha256": "8aec303b06ac40ccb446f82ee9ad8d0e5dae76fa98dce614780db825474c3276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06516",
    "kind": "arxiv",
    "version": 2
  }
}