Pith Number

pith:UDXMGJ4K

pith:2026:UDXMGJ4KC4E73RGGAT2RYYL4XP

not attested not anchored not stored refs pending

On the holonomy of Lie algebroids

Joel Villatoro, Pooja Joshi

arxiv:2608.19399 v1 · 2026-08-19 · 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{UDXMGJ4KC4E73RGGAT2RYYL4XP}

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	2026-08-21T00:20:42.705288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0eec3278a1709fdc4c604f51c617cbbcf3523a8d31b320b517a8bd4d91145be

Aliases

arxiv: 2608.19399 · arxiv_version: 2608.19399v1 · doi: 10.48550/arxiv.2608.19399 · pith_short_12: UDXMGJ4KC4E7 · pith_short_16: UDXMGJ4KC4E73RGG · pith_short_8: UDXMGJ4K

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/UDXMGJ4KC4E73RGGAT2RYYL4XP \
  | 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: a0eec3278a1709fdc4c604f51c617cbbcf3523a8d31b320b517a8bd4d91145be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be07d65f5dcf1a8eee0c72850ff2ce5b98875c793f17fa135a8d8f1971551c65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-08-19T19:32:18Z",
    "title_canon_sha256": "6eb31b1afc4a05fb78a7f1c3e632242070b7302107a14f6f16c0f1bfb340770c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.19399",
    "kind": "arxiv",
    "version": 1
  }
}