Pith Number

pith:KUPMHAW4

pith:2021:KUPMHAW4DOIIN334LCGB4T5AZ2

not attested not anchored not stored refs pending

Chern-Weil theory for Haefliger-singular foliations

Benjamin McMillan, Lachlan Ewen MacDonald

arxiv:2106.10078 v3 · 2021-06-18 · 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{KUPMHAW4DOIIN334LCGB4T5AZ2}

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

Godbillon-Vey classes of Lie subalgebroids

Receipt and verification

First computed	2026-07-05T10:33:01.078120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

551ec382dc1b9086ef7c588c1e4fa0ce96b3326a8b95c70e506983bacc619eac

Aliases

arxiv: 2106.10078 · arxiv_version: 2106.10078v3 · doi: 10.48550/arxiv.2106.10078 · pith_short_12: KUPMHAW4DOII · pith_short_16: KUPMHAW4DOIIN334 · pith_short_8: KUPMHAW4

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/KUPMHAW4DOIIN334LCGB4T5AZ2 \
  | 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: 551ec382dc1b9086ef7c588c1e4fa0ce96b3326a8b95c70e506983bacc619eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a29777c4dcfea609b23caada656d339b359c7ad3db161604f1b77525639ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-06-18T11:58:24Z",
    "title_canon_sha256": "2fe29ce2b05fe7b02a5453f360db59086b7e5f90c2e6cf3857739087462bb8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10078",
    "kind": "arxiv",
    "version": 3
  }
}