Pith Number

pith:PVN36SJF

pith:2025:PVN36SJFOZA6KPP6VLQZ3PMHK6

not attested not anchored not stored refs pending

Product Of Exponentials (POE) Splines on Lie-Groups: Limitations, Extensions, and Application to SO(3) and SE(3)

Andreas Mueller

arxiv:2508.10513 v1 · 2025-08-14 · math.NA · cs.NA · math.DG · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVN36SJFOZA6KPP6VLQZ3PMHK6}

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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

Efficient Computation of Distance Functions for Navigation Vector Fields in Lie Groups

Receipt and verification

First computed	2026-07-05T11:53:57.755663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d5bbf49257641e53dfeaae19dbd87578e252204a36878edfa9a84cb0f9f80df

Aliases

arxiv: 2508.10513 · arxiv_version: 2508.10513v1 · doi: 10.48550/arxiv.2508.10513 · pith_short_12: PVN36SJFOZA6 · pith_short_16: PVN36SJFOZA6KPP6 · pith_short_8: PVN36SJF

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/PVN36SJFOZA6KPP6VLQZ3PMHK6 \
  | 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: 7d5bbf49257641e53dfeaae19dbd87578e252204a36878edfa9a84cb0f9f80df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845973991fc4d2cc9532b45782f652ddbc6acdd2481ec4844d4f48eb11fb6f49",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-08-14T10:31:54Z",
    "title_canon_sha256": "3c0437df904b7e4fef8b47062658dfb7f43a476efff127e8efdf7eff0643ba3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10513",
    "kind": "arxiv",
    "version": 1
  }
}