Pith Number

pith:L5AET2SI

pith:2008:L5AET2SIIFXG5AV5HCPCAV2HWL

not attested not anchored not stored refs pending

Lie algebroid structures on double vector bundles and representation theory of Lie algebroids

Alfonso Gracia-Saz, Rajan Amit Mehta

arxiv:0810.0066 v2 · 2008-10-01 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5AET2SIIFXG5AV5HCPCAV2HWL}

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	2026-05-18T04:12:02.483797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4049ea48416e6e82bd389e205747b2d210b092499293ffb446d5cc08abd78d

Aliases

arxiv: 0810.0066 · arxiv_version: 0810.0066v2 · doi: 10.48550/arxiv.0810.0066 · pith_short_12: L5AET2SIIFXG · pith_short_16: L5AET2SIIFXG5AV5 · pith_short_8: L5AET2SI

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/L5AET2SIIFXG5AV5HCPCAV2HWL \
  | 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: 5f4049ea48416e6e82bd389e205747b2d210b092499293ffb446d5cc08abd78d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c3af9d9a70a27feb259ff257429c61df3ec5dc3e33d0ab09d879bf042f536f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-10-01T03:17:59Z",
    "title_canon_sha256": "51c007a87513325f3b1718685ad097e2977f3a05479e47aeee44004715a99843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0066",
    "kind": "arxiv",
    "version": 2
  }
}