Pith Number

pith:NQLP3WE7

pith:2019:NQLP3WE7NFP2F53LCZWMVP472S

not attested not anchored not stored refs pending

Carnot rectifiability of sub-Riemannian manifolds with constant tangent

Enrico Le Donne, Robert Young

arxiv:1901.11227 v1 · 2019-01-31 · math.MG · math.CA · 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{NQLP3WE7NFP2F53LCZWMVP472S}

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	2026-05-17T23:55:02.381120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c16fdd89f695fa2f76b166ccabf9fd4a43eb9d8f7eb079c9aef43ccc560c7e8

Aliases

arxiv: 1901.11227 · arxiv_version: 1901.11227v1 · doi: 10.48550/arxiv.1901.11227 · pith_short_12: NQLP3WE7NFP2 · pith_short_16: NQLP3WE7NFP2F53L · pith_short_8: NQLP3WE7

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/NQLP3WE7NFP2F53LCZWMVP472S \
  | 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: 6c16fdd89f695fa2f76b166ccabf9fd4a43eb9d8f7eb079c9aef43ccc560c7e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8309ef088b05425e4ddb5ceea2ba4ab068366cd06f0403835525a1de96537b63",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-01-31T06:27:07Z",
    "title_canon_sha256": "bc455b889b21d3dbfea36b0017ff4819988bbe796c998730a58fa1eb82a422b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11227",
    "kind": "arxiv",
    "version": 1
  }
}