Pith Number

pith:R5KJVJT3

pith:2015:R5KJVJT3GWNHRB5HYNOMFR2TVM

not attested not anchored not stored refs pending

On Jacobi fields and canonical connection in sub-Riemannian geometry

Davide Barilari, Luca Rizzi

arxiv:1506.01827 v3 · 2015-06-05 · math.DG · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5KJVJT3GWNHRB5HYNOMFR2TVM}

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	2026-05-18T00:40:54.219447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f549aa67b359a7887a7c35cc2c753ab00e6d5502f590d9c1a2bd2f43ffae532

Aliases

arxiv: 1506.01827 · arxiv_version: 1506.01827v3 · doi: 10.48550/arxiv.1506.01827 · pith_short_12: R5KJVJT3GWNH · pith_short_16: R5KJVJT3GWNHRB5H · pith_short_8: R5KJVJT3

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/R5KJVJT3GWNHRB5HYNOMFR2TVM \
  | 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: 8f549aa67b359a7887a7c35cc2c753ab00e6d5502f590d9c1a2bd2f43ffae532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8278c49ac4b359df60f1b11a920cb195b73e719eef63e48e696ce6c65f9d68be",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-05T09:14:45Z",
    "title_canon_sha256": "6693f46de4a2be1b3c306f0e5eeecb51de97a3f3869772088d250db0eb22e686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01827",
    "kind": "arxiv",
    "version": 3
  }
}