Pith Number

pith:NJRKQRLA

pith:2015:NJRKQRLAYQTCV3CZJEFKRHQ4B4

not attested not anchored not stored refs pending

Non-minimality of corners in subriemannian geometry

Eero Hakavuori, Enrico Le Donne

arxiv:1509.05578 v2 · 2015-09-18 · 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{NJRKQRLAYQTCV3CZJEFKRHQ4B4}

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	2026-05-18T00:54:41.377027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a62a84560c4262aec59490aa89e1c0f3c40295449494f60821090006e3807dc

Aliases

arxiv: 1509.05578 · arxiv_version: 1509.05578v2 · doi: 10.48550/arxiv.1509.05578 · pith_short_12: NJRKQRLAYQTC · pith_short_16: NJRKQRLAYQTCV3CZ · pith_short_8: NJRKQRLA

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/NJRKQRLAYQTCV3CZJEFKRHQ4B4 \
  | 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: 6a62a84560c4262aec59490aa89e1c0f3c40295449494f60821090006e3807dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5b5133961b2bdce97a2c2ab24f14c354d92f0404ccc8d3493fd90c8c06fc87",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-18T10:27:59Z",
    "title_canon_sha256": "537cda1b412ba97c555f38d848773541b89e4cfc5506a4c897a214a6964591dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05578",
    "kind": "arxiv",
    "version": 2
  }
}