Pith Number

pith:M7ICKSVO

pith:2020:M7ICKSVOID4G3I4LKFBCD2YFYG

not attested not anchored not stored refs pending

Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry

A.A. Ardentov, L.V. Lokutsievskiy, Yu.L. Sachkov

arxiv:2004.10194 v2 · 2020-04-21 · math.OC · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7ICKSVOID4G3I4LKFBCD2YFYG}

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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.

Cited by

1 paper in Pith

Explicit formulas for extremals in sub-Lorentzian and Finsler problems on 2- and 3-dimensional Lie groups

Receipt and verification

First computed	2026-07-05T02:30:57.426930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d0254aae40f86da38b514221eb05c1be1e71afe4daf07e25a7d191bdbe47db

Aliases

arxiv: 2004.10194 · arxiv_version: 2004.10194v2 · doi: 10.48550/arxiv.2004.10194 · pith_short_12: M7ICKSVOID4G · pith_short_16: M7ICKSVOID4G3I4L · pith_short_8: M7ICKSVO

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/M7ICKSVOID4G3I4LKFBCD2YFYG \
  | 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: 67d0254aae40f86da38b514221eb05c1be1e71afe4daf07e25a7d191bdbe47db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0fcff1bb1c3c81e3444dcf334c0d7a5489b3319ad75f1bf07b66b63d572535",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-04-21T17:59:59Z",
    "title_canon_sha256": "38d049e4b75f4032b9537dee61f2f316221fef661eeadfc6e3d6b462584c4b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.10194",
    "kind": "arxiv",
    "version": 2
  }
}