Pith Number

pith:RQF6LRXU

pith:2017:RQF6LRXUJPQZTLRRY74N2K5QG3

not attested not anchored not stored refs pending

On the codimension of the abnormal set in step two Carnot groups

Alessandro Ottazzi, Davide Vittone

arxiv:1709.02854 v3 · 2017-09-05 · math.DG · 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{RQF6LRXUJPQZTLRRY74N2K5QG3}

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	2026-05-18T00:26:36.475380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c0be5c6f44be199ae31c7f8dd2bb036f3dda2b6a8b8fb39b27e73bb3bc886ad

Aliases

arxiv: 1709.02854 · arxiv_version: 1709.02854v3 · doi: 10.48550/arxiv.1709.02854 · pith_short_12: RQF6LRXUJPQZ · pith_short_16: RQF6LRXUJPQZTLRR · pith_short_8: RQF6LRXU

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/RQF6LRXUJPQZTLRRY74N2K5QG3 \
  | 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: 8c0be5c6f44be199ae31c7f8dd2bb036f3dda2b6a8b8fb39b27e73bb3bc886ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fe1f50603a96945ab6f2385a7f509d33ff49fb4c878d5e954eff8bb7ef97e1e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-05T09:31:25Z",
    "title_canon_sha256": "3d76b75daab96c2e9f0ee19f8a582d65ba8f478c972702f7cfa2cb7931473208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02854",
    "kind": "arxiv",
    "version": 3
  }
}