Pith Number

pith:2OB6KGQ7

pith:2021:2OB6KGQ7USNYAD23SM43J2C5UR

not attested not anchored not stored refs pending

Applications of Nijenhuis geometry III: Frobenius pencils and compatible non-homogeneous Poisson structures

Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev

arxiv:2112.09471 v3 · 2021-12-17 · math.DG · 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{2OB6KGQ7USNYAD23SM43J2C5UR}

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	2026-07-05T06:04:49.048118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d383e51a1fa49b800f5b9339b4e85da4610b8fe1fdc6d3d29b5bf3b72751f6fe

Aliases

arxiv: 2112.09471 · arxiv_version: 2112.09471v3 · doi: 10.48550/arxiv.2112.09471 · pith_short_12: 2OB6KGQ7USNY · pith_short_16: 2OB6KGQ7USNYAD23 · pith_short_8: 2OB6KGQ7

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/2OB6KGQ7USNYAD23SM43J2C5UR \
  | 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: d383e51a1fa49b800f5b9339b4e85da4610b8fe1fdc6d3d29b5bf3b72751f6fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bdf307878a5c8c805514c74f19f2dab2fab07ad19508c4d42dd9ad88f2e6950",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-12-17T12:20:49Z",
    "title_canon_sha256": "80103904b860e57b45d88371fd6c6039ab6bbf44dee0f42e8258d8f066e6d105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09471",
    "kind": "arxiv",
    "version": 3
  }
}