Pith Number

pith:AONJFI6I

pith:2009:AONJFI6I32FYXULV2RCWNHRFDI

not attested not anchored not stored refs pending

Sub-Riemannian geometry of parallelizable spheres

Irina Markina, Mauricio Godoy Molina

arxiv:0901.1406 v1 · 2009-01-11 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AONJFI6I32FYXULV2RCWNHRFDI}

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	2026-05-18T01:35:33.356444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039a92a3c8de8b8bd175d445669e251a2f33c8ef3c95630bcc0c39f1da3d3891

Aliases

arxiv: 0901.1406 · arxiv_version: 0901.1406v1 · doi: 10.48550/arxiv.0901.1406 · pith_short_12: AONJFI6I32FY · pith_short_16: AONJFI6I32FYXULV · pith_short_8: AONJFI6I

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/AONJFI6I32FYXULV2RCWNHRFDI \
  | 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: 039a92a3c8de8b8bd175d445669e251a2f33c8ef3c95630bcc0c39f1da3d3891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97a053cb58bd9a835bab492e5d9c61ffb45b62f9fdf52a9b87dd14797275c2e5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-01-11T01:49:49Z",
    "title_canon_sha256": "5435da0fdb71388f59bef18c1a1d4850a17f836540b8a31c93a81a86e1b4b87b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1406",
    "kind": "arxiv",
    "version": 1
  }
}