Pith Number

pith:AOR6YI6O

pith:2006:AOR6YI6OVSN4KSSI27TVRHUCOS

not attested not anchored not stored refs pending

Lectures on Integrability of Lie Brackets

Marius Crainic, Rui Loja Fernandes

arxiv:math/0611259 v1 · 2006-11-09 · 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{AOR6YI6OVSN4KSSI27TVRHUCOS}

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

1 paper in Pith

Connections on a principal Lie groupoid bundle and representations up to homotopy

Receipt and verification

First computed	2026-07-04T14:57:38.685140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03a3ec23ceac9bc54a48d7e7589e82749aac5bc0579a9c377585a36ff66030fb

Aliases

arxiv: math/0611259 · arxiv_version: math/0611259v1 · doi: 10.48550/arxiv.math/0611259 · pith_short_12: AOR6YI6OVSN4 · pith_short_16: AOR6YI6OVSN4KSSI · pith_short_8: AOR6YI6O

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/AOR6YI6OVSN4KSSI27TVRHUCOS \
  | 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: 03a3ec23ceac9bc54a48d7e7589e82749aac5bc0579a9c377585a36ff66030fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0974cedb3bedcdd8f5aee2b88796d0cb657b134f7df973a28c89baf3b69b3453",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-11-09T09:09:15Z",
    "title_canon_sha256": "0a00e7e9ad5c15fe9875fa0f18ab66d241b4aa984db53a2fc6b30132358c47e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611259",
    "kind": "arxiv",
    "version": 1
  }
}