Pith Number

pith:Q3AQ6CQ3

pith:2018:Q3AQ6CQ3GCYPB6RKU7VSNMHKGA

not attested not anchored not stored refs pending

Generalized Lie Algebroids - Examples by Distinguished Lie Algebroids with Applications to Optimal Control

Constantin M. Arcus, Esa Sharahi, Esmaeil Peyghan

arxiv:1808.06297 v1 · 2018-08-20 · 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{Q3AQ6CQ3GCYPB6RKU7VSNMHKGA}

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	2026-05-18T00:07:45.422098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c10f0a1b30b0f0fa2aa7eb26b0ea30067529d24bc3c5c30b2f31c52c8a5fce

Aliases

arxiv: 1808.06297 · arxiv_version: 1808.06297v1 · doi: 10.48550/arxiv.1808.06297 · pith_short_12: Q3AQ6CQ3GCYP · pith_short_16: Q3AQ6CQ3GCYPB6RK · pith_short_8: Q3AQ6CQ3

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/Q3AQ6CQ3GCYPB6RKU7VSNMHKGA \
  | 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: 86c10f0a1b30b0f0fa2aa7eb26b0ea30067529d24bc3c5c30b2f31c52c8a5fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3fdee63e1302f482deb3c8ef6dd81ca3b297b7b5243b87289937257296c64a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-20T03:51:40Z",
    "title_canon_sha256": "337d1817ba7c4fc9a2cfb8a68cb9c3dcff33789666b50fbdda5420ca9db8c4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06297",
    "kind": "arxiv",
    "version": 1
  }
}