Pith Number

pith:CK42IF3S

pith:2024:CK42IF3SWSGVGOGVA4GX2PQQPO

not attested not anchored not stored refs pending

Sub-Lorentzian extremals defined by an antinorm

A.V.Podobryaev

arxiv:2402.04687 v1 · 2024-02-07 · math.OC · 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{CK42IF3SWSGVGOGVA4GX2PQQPO}

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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	2026-07-05T08:32:36.086353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b9a41772b48d5338d5070d7d3e107bba83dcbff1eec8b08bfce522400ea847

Aliases

arxiv: 2402.04687 · arxiv_version: 2402.04687v1 · doi: 10.48550/arxiv.2402.04687 · pith_short_12: CK42IF3SWSGV · pith_short_16: CK42IF3SWSGVGOGV · pith_short_8: CK42IF3S

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/CK42IF3SWSGVGOGVA4GX2PQQPO \
  | 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: 12b9a41772b48d5338d5070d7d3e107bba83dcbff1eec8b08bfce522400ea847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374a47b94868256297dd9236d501695cc49441942a8c4431291c817761e5e83e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-02-07T09:20:46Z",
    "title_canon_sha256": "b8efa6c2c3b4cf7e92e84bb848c49bfaa4e8f72ca409aedd485b0a7677d9136c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.04687",
    "kind": "arxiv",
    "version": 1
  }
}