Pith Number

pith:M5NAMCLX

pith:2025:M5NAMCLXE7D2S2BNUBBZ4DFBJ7

not attested not anchored not stored refs pending

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

E. A. Ladeishchikov, L. V. Lokutsievskiy, N. V. Prilepin

arxiv:2507.00250 v1 · 2025-06-30 · 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{M5NAMCLXE7D2S2BNUBBZ4DFBJ7}

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	2026-07-05T11:30:05.071977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

675a06097727c7a9682da0439e0ca14fd0aeec4406dc3048c18b58d8af7e926f

Aliases

arxiv: 2507.00250 · arxiv_version: 2507.00250v1 · doi: 10.48550/arxiv.2507.00250 · pith_short_12: M5NAMCLXE7D2 · pith_short_16: M5NAMCLXE7D2S2BN · pith_short_8: M5NAMCLX

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/M5NAMCLXE7D2S2BNUBBZ4DFBJ7 \
  | 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: 675a06097727c7a9682da0439e0ca14fd0aeec4406dc3048c18b58d8af7e926f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717e61c9f49bb9f35cf5b8f87c035cc16a0c3411816b0ece2a8eff8d569464bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-30T20:36:30Z",
    "title_canon_sha256": "02dd50ef4b2b1ca31b2fb1436e603edce3c9700e835f53ecee208f4e944b6f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00250",
    "kind": "arxiv",
    "version": 1
  }
}