Pith Number

pith:32GPKLFY

pith:2016:32GPKLFY3VDKOJADDODNZDXNDG

not attested not anchored not stored refs pending

A canonical connection on sub-Riemannian contact manifolds

Katharina Neusser, Michael Eastwood

arxiv:1604.05392 v2 · 2016-04-19 · 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{32GPKLFY3VDKOJADDODNZDXNDG}

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	2026-05-18T01:16:37.385128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8cf52cb8dd46a724031b86dc8eed198ed9f09b12acb3a5ae0005a9ea202982

Aliases

arxiv: 1604.05392 · arxiv_version: 1604.05392v2 · doi: 10.48550/arxiv.1604.05392 · pith_short_12: 32GPKLFY3VDK · pith_short_16: 32GPKLFY3VDKOJAD · pith_short_8: 32GPKLFY

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/32GPKLFY3VDKOJADDODNZDXNDG \
  | 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: de8cf52cb8dd46a724031b86dc8eed198ed9f09b12acb3a5ae0005a9ea202982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a0c377dbfa26b86459d47f64cc71db6d4cd063083a9270c9dac1cfd423190a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-19T00:51:53Z",
    "title_canon_sha256": "c0acde619e9337c2691de438c0ea7693f4b449cf667132cf2373c937e5e86807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05392",
    "kind": "arxiv",
    "version": 2
  }
}