Pith Number

pith:6XDAB2JP

pith:2023:6XDAB2JPYPQZXK3EQP6XMKWR24

not attested not anchored not stored refs pending

On the integrability of Lie algebroids by diffeological spaces

Joel Villatoro

arxiv:2309.07258 v3 · 2023-09-13 · 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{6XDAB2JPYPQZXK3EQP6XMKWR24}

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	2026-07-05T06:54:55.208428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c600e92fc3e19bab6483fd762ad1d72a768fe8f416cf64168e560cb1974155

Aliases

arxiv: 2309.07258 · arxiv_version: 2309.07258v3 · doi: 10.48550/arxiv.2309.07258 · pith_short_12: 6XDAB2JPYPQZ · pith_short_16: 6XDAB2JPYPQZXK3E · pith_short_8: 6XDAB2JP

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/6XDAB2JPYPQZXK3EQP6XMKWR24 \
  | 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: f5c600e92fc3e19bab6483fd762ad1d72a768fe8f416cf64168e560cb1974155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a46274e402006ca3e316d87cf7c46d952eb1e57af789eaafa1ecfa836098a09d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-09-13T18:48:31Z",
    "title_canon_sha256": "1490364a799e5c5cbde3870f8f430b4dc51b980b10a00c55fbd49e1256e94199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.07258",
    "kind": "arxiv",
    "version": 3
  }
}