Pith Number

pith:MKRAZGPZ

pith:2011:MKRAZGPZLNAQLBQD5NJ77UXKUU

not attested not anchored not stored refs pending

Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor

Antonio De Nicola, Edith Padron, Juan Carlos Marrero

arxiv:1105.4858 v3 · 2011-05-24 · math.DG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKRAZGPZLNAQLBQD5NJ77UXKUU}

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	2026-05-18T04:11:41.664984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62a20c99f95b41058603eb53ffd2eaa50b21fff79124e21729b79a4cd4260f38

Aliases

arxiv: 1105.4858 · arxiv_version: 1105.4858v3 · doi: 10.48550/arxiv.1105.4858 · pith_short_12: MKRAZGPZLNAQ · pith_short_16: MKRAZGPZLNAQLBQD · pith_short_8: MKRAZGPZ

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/MKRAZGPZLNAQLBQD5NJ77UXKUU \
  | 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: 62a20c99f95b41058603eb53ffd2eaa50b21fff79124e21729b79a4cd4260f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc6ebd162c4f32c1c0eafa78861f91104fa00c64c97a1fcbb1320fdbb7c9139",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-24T19:17:09Z",
    "title_canon_sha256": "34c3e54f5107939845d4c719357eeba88a69261d0dca7dbf3b948852ba8dee37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4858",
    "kind": "arxiv",
    "version": 3
  }
}