Pith Number

pith:WMRJJLY4

pith:2018:WMRJJLY4PH2S3ZF6LRDIJLKXNF

not attested not anchored not stored refs pending

Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

Alexey Mashtakov, Anton Popov

arxiv:1805.08537 v1 · 2018-05-22 · 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{WMRJJLY4PH2S3ZF6LRDIJLKXNF}

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	2026-05-18T00:15:26.113012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32294af1c79f52de4be5c4684ad57696eee161959c32a87e01da8fafa47a44b

Aliases

arxiv: 1805.08537 · arxiv_version: 1805.08537v1 · doi: 10.48550/arxiv.1805.08537 · pith_short_12: WMRJJLY4PH2S · pith_short_16: WMRJJLY4PH2S3ZF6 · pith_short_8: WMRJJLY4

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/WMRJJLY4PH2S3ZF6LRDIJLKXNF \
  | 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: b32294af1c79f52de4be5c4684ad57696eee161959c32a87e01da8fafa47a44b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592b2e15287ebd981322e95feb88c5a719a1cc99d1249bdba3dffeda62dc104a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-22T12:22:58Z",
    "title_canon_sha256": "5efe7de6a62d79e2b33a2e2ccb6904b263c236337ef0c616409b11f9a8c14eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08537",
    "kind": "arxiv",
    "version": 1
  }
}