Pith Number

pith:VR7SQ6RA

pith:2006:VR7SQ6RAPCYSXI57FKOYIV7BWV

not attested not anchored not stored refs pending

State space description of national economies: the V4 countries

Igor Podlubny, Ivo Petras

arxiv:math/0609789 v3 · 2006-09-28 · math.ST · cs.NA · math.NA · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR7SQ6RAPCYSXI57FKOYIV7BWV}

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	2026-06-03T22:06:20.630345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7f287a2078b12ba3bf2a9d8457e1b55e9361f4bd4c93c60cba777342a8936d

Aliases

arxiv: math/0609789 · arxiv_version: math/0609789v3 · doi: 10.48550/arxiv.math/0609789 · pith_short_12: VR7SQ6RAPCYS · pith_short_16: VR7SQ6RAPCYSXI57 · pith_short_8: VR7SQ6RA

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/VR7SQ6RAPCYSXI57FKOYIV7BWV \
  | 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: ac7f287a2078b12ba3bf2a9d8457e1b55e9361f4bd4c93c60cba777342a8936d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843813ca6471d804f4ef0b8824225fac5b67bd65c23c315068d63aa4439ffa2a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2006-09-28T10:35:15Z",
    "title_canon_sha256": "268922c82ede636a625f6d0de5ee845fa817af435952037d7a8a43ba6ceee5fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609789",
    "kind": "arxiv",
    "version": 3
  }
}