pith. sign in
Pith Number

pith:VTQWV7X5

pith:1999:VTQWV7X5WPVAX7NYK3WQZE4WBJ
not attested not anchored not stored refs pending

Porosities and dimensions of measures satisfying the doubling condition

Esa Jarvenpaa, Jean-Pierre Eckmann, Maarit Jarvenpaa

arxiv:chao-dyn/9904033 v1 · 1999-04-20 · chao-dyn · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VTQWV7X5WPVAX7NYK3WQZE4WBJ}

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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 2026-05-18T00:19:59.957194Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ace16afefdb3ea0bfdb856ed0c93960a6bcc6dbfd4455719d4acd5a537773147

Aliases

arxiv: chao-dyn/9904033 · arxiv_version: chao-dyn/9904033v1 · doi: 10.48550/arxiv.chao-dyn/9904033 · pith_short_12: VTQWV7X5WPVA · pith_short_16: VTQWV7X5WPVAX7NY · pith_short_8: VTQWV7X5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VTQWV7X5WPVAX7NYK3WQZE4WBJ \
  | 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: ace16afefdb3ea0bfdb856ed0c93960a6bcc6dbfd4455719d4acd5a537773147
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9cf48466675f62e315c39a818d384ede0be1ed67bcbdcf918cb301aba5bd57fd",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1999-04-20T06:46:48Z",
    "title_canon_sha256": "7b0af7d93e597f7745f3418dda2f1d7e5a44d3cd6b10959aef261e80ea743c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9904033",
    "kind": "arxiv",
    "version": 1
  }
}