Pith Number

pith:6NKZWY5M

pith:2017:6NKZWY5MD66B4R3C6DCIJ7LCLN

not attested not anchored not stored refs pending

On tangent cones to length minimizers in Carnot-Carath\'eodory spaces

Alessandro Pigati, Davide Vittone, Roberto Monti

arxiv:1707.07990 v1 · 2017-07-25 · 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{6NKZWY5MD66B4R3C6DCIJ7LCLN}

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	2026-05-18T00:39:25.284753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3559b63ac1fbc1e4762f0c484fd625b44696b72f36d8cd5dd3e7538e4f8f702

Aliases

arxiv: 1707.07990 · arxiv_version: 1707.07990v1 · doi: 10.48550/arxiv.1707.07990 · pith_short_12: 6NKZWY5MD66B · pith_short_16: 6NKZWY5MD66B4R3C · pith_short_8: 6NKZWY5M

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/6NKZWY5MD66B4R3C6DCIJ7LCLN \
  | 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: f3559b63ac1fbc1e4762f0c484fd625b44696b72f36d8cd5dd3e7538e4f8f702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90dd389911c459591a544b447c4888daf8de0e0eec463da621d446639801ed59",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-07-25T13:40:22Z",
    "title_canon_sha256": "bbcd0424817fe1d7bde621a92de0574042328e51cce71b4af12236e630b3a70e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07990",
    "kind": "arxiv",
    "version": 1
  }
}