Pith Number

pith:Y3LRJJPO

pith:2014:Y3LRJJPOCYWMUBZG4N7YDWYOKB

not attested not anchored not stored refs pending

Covariant Lie derivatives and Fr\"olicher-Nijenhuis bracket on Lie Algebroids

Antonio De Nicola, Ivan Yudin

arxiv:1412.2533 v1 · 2014-12-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3LRJJPOCYWMUBZG4N7YDWYOKB}

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	2026-05-18T01:30:25.545403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6d714a5ee162cca0726e37f81db0e505f4f0c704add129814a4251edda6c704

Aliases

arxiv: 1412.2533 · arxiv_version: 1412.2533v1 · doi: 10.48550/arxiv.1412.2533 · pith_short_12: Y3LRJJPOCYWM · pith_short_16: Y3LRJJPOCYWMUBZG · pith_short_8: Y3LRJJPO

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/Y3LRJJPOCYWMUBZG4N7YDWYOKB \
  | 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: c6d714a5ee162cca0726e37f81db0e505f4f0c704add129814a4251edda6c704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ef99decda919092c236e15aa28bd6fdf8b704e2033cda0d4f9efa5310c2d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-08T12:11:28Z",
    "title_canon_sha256": "80d7e3b41c9f1708a8f2a864ed252c0c3e67e85d555ee8301c9993d3e3f4988b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2533",
    "kind": "arxiv",
    "version": 1
  }
}