Pith Number

pith:XTVZYILA

pith:2010:XTVZYILA2INQ5WRP5Y2UEEMJSR

not attested not anchored not stored refs pending

Bi-presymplectic representation of Liouville integrable systems and related separability theory

Maciej Blaszak

arxiv:1009.0151 v1 · 2010-09-01 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTVZYILA2INQ5WRP5Y2UEEMJSR}

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	2026-05-18T04:41:35.427732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bceb9c2160d21b0eda2fee35421189944ae5fea32db81c01d3f017fbffdb48f2

Aliases

arxiv: 1009.0151 · arxiv_version: 1009.0151v1 · doi: 10.48550/arxiv.1009.0151 · pith_short_12: XTVZYILA2INQ · pith_short_16: XTVZYILA2INQ5WRP · pith_short_8: XTVZYILA

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/XTVZYILA2INQ5WRP5Y2UEEMJSR \
  | 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: bceb9c2160d21b0eda2fee35421189944ae5fea32db81c01d3f017fbffdb48f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2bf22ce959ecb228b4eec11d33a178012a20e84380ef308510ca95c07609dc1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-09-01T10:16:19Z",
    "title_canon_sha256": "69bb484111f244d01512946f398f86e3a8fb3cf6c6ccdd4d71e0d841fa34d4af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0151",
    "kind": "arxiv",
    "version": 1
  }
}