Pith Number

pith:IAAPYWPP

pith:2026:IAAPYWPPQZFQA7GZ4LYFC4UGI6

not attested not anchored not stored refs pending

Learning Smooth SE(3) Trajectories under Left-Invariant Riemannian Metrics

Vijay Kumar, Yuwei Wu

arxiv:2608.01562 v1 · 2026-08-03 · cs.RO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAAPYWPPQZFQA7GZ4LYFC4UGI6}

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	2026-08-04T02:05:59.699073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4000fc59ef864b007cd9e2f0517286479e1be66aeaa0fbcef7831525be31089d

Aliases

arxiv: 2608.01562 · arxiv_version: 2608.01562v1 · doi: 10.48550/arxiv.2608.01562 · pith_short_12: IAAPYWPPQZFQ · pith_short_16: IAAPYWPPQZFQA7GZ · pith_short_8: IAAPYWPP

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/IAAPYWPPQZFQA7GZ4LYFC4UGI6 \
  | 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: 4000fc59ef864b007cd9e2f0517286479e1be66aeaa0fbcef7831525be31089d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27aa59c120ab6cc3a0cc8506ea3117093b1895bc736296c818503c424599f7fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2026-08-03T00:40:03Z",
    "title_canon_sha256": "bef6301764ea05855b6e26eba5a2db3290cc00203863e441796d2e3898821ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01562",
    "kind": "arxiv",
    "version": 1
  }
}