Pith Number

pith:LNVMMNHM

pith:2014:LNVMMNHMNKP5B43WNKGTFUR463

not attested not anchored not stored refs pending

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group $SO_0(2,1)$

Valera Berestovskii

arxiv:1410.1525 v1 · 2014-10-06 · 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{LNVMMNHMNKP5B43WNKGTFUR463}

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	2026-05-18T02:41:01.580153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6ac634ec6a9fd0f3766a8d32d23cf6c6df892ef912cedb9b26201ff25b1161

Aliases

arxiv: 1410.1525 · arxiv_version: 1410.1525v1 · doi: 10.48550/arxiv.1410.1525 · pith_short_12: LNVMMNHMNKP5 · pith_short_16: LNVMMNHMNKP5B43W · pith_short_8: LNVMMNHM

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/LNVMMNHMNKP5B43WNKGTFUR463 \
  | 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: 5b6ac634ec6a9fd0f3766a8d32d23cf6c6df892ef912cedb9b26201ff25b1161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f042edbc8bfaa71fee6eae29ba7dc4a8d6433878facb9719f381bd5ce933c859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-06T04:34:27Z",
    "title_canon_sha256": "b316034068f40fb7e06431e87e32bba5b5e19496c35e11fe29ba3b8972c702c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1525",
    "kind": "arxiv",
    "version": 1
  }
}