Pith Number

pith:KKPZXNZH

pith:2013:KKPZXNZHI5QGJJGNU7PB5YUGF3

not attested not anchored not stored refs pending

On measure expansive diffeomorphisms

Jose L. Vieitez, Maria Jose Pacifico

arxiv:1302.2282 v1 · 2013-02-10 · 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{KKPZXNZHI5QGJJGNU7PB5YUGF3}

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	2026-05-18T03:34:01.776590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

529f9bb727476064a4cda7de1ee2862ec9e3001e382dfea6b70a8c7b9a500f9a

Aliases

arxiv: 1302.2282 · arxiv_version: 1302.2282v1 · doi: 10.48550/arxiv.1302.2282 · pith_short_12: KKPZXNZHI5QG · pith_short_16: KKPZXNZHI5QGJJGN · pith_short_8: KKPZXNZH

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/KKPZXNZHI5QGJJGNU7PB5YUGF3 \
  | 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: 529f9bb727476064a4cda7de1ee2862ec9e3001e382dfea6b70a8c7b9a500f9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be947179fd3edfbc44eeb79739e2842a130c9cc9a4e4899275c5151484b7b35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-10T00:12:33Z",
    "title_canon_sha256": "999000033e502a3fd6a66f75cf258cb85e0037e227869c64200c9fb9e8015fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2282",
    "kind": "arxiv",
    "version": 1
  }
}