Pith Number

pith:K6HKOQNZ

pith:2014:K6HKOQNZBO6F3JM5G7PBWOEIZM

not attested not anchored not stored refs pending

Lie, symplectic and Poisson groupoids and their Lie algebroids

Charles-Michel Marle (IMJ)

arxiv:1402.0059 v1 · 2014-02-01 · 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{K6HKOQNZBO6F3JM5G7PBWOEIZM}

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.

Cited by

2 papers in Pith

Constructions of $3$-Lie algebroids

Couplings of $3$-anchored Bundles

Receipt and verification

First computed	2026-05-18T03:00:24.934240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578ea741b90bbc5da59d37de1b3888cb33f44c051430d3f88649c094c3c7db82

Aliases

arxiv: 1402.0059 · arxiv_version: 1402.0059v1 · doi: 10.48550/arxiv.1402.0059 · pith_short_12: K6HKOQNZBO6F · pith_short_16: K6HKOQNZBO6F3JM5 · pith_short_8: K6HKOQNZ

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/K6HKOQNZBO6F3JM5G7PBWOEIZM \
  | 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: 578ea741b90bbc5da59d37de1b3888cb33f44c051430d3f88649c094c3c7db82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8167ae92f69ce5c8bbe42ea467961038553c209a1d8b7e1f615dee81a2f670d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-01T07:37:12Z",
    "title_canon_sha256": "d956fad1698fd4f5684746bc2a43df703a43063501b71d9bf3c6fa9aa8a2611c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0059",
    "kind": "arxiv",
    "version": 1
  }
}