Pith Number

pith:4UYBY4DF

pith:2015:4UYBY4DFKXNQ52LJ6QQCTEHEQS

not attested not anchored not stored refs pending

Gradient-like observer design on the Special Euclidean group SE(3) with system outputs on the real projective space

Jochen Trumpf, Minh-Duc Hua, Robert Mahony, Tarek Hamel

arxiv:1505.05450 v3 · 2015-05-20 · 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{4UYBY4DFKXNQ52LJ6QQCTEHEQS}

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	2026-05-18T01:33:32.088890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5301c706555db0ee969f4202990e484808b664f373163caded6bf1730c53bbe

Aliases

arxiv: 1505.05450 · arxiv_version: 1505.05450v3 · doi: 10.48550/arxiv.1505.05450 · pith_short_12: 4UYBY4DFKXNQ · pith_short_16: 4UYBY4DFKXNQ52LJ · pith_short_8: 4UYBY4DF

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/4UYBY4DFKXNQ52LJ6QQCTEHEQS \
  | 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: e5301c706555db0ee969f4202990e484808b664f373163caded6bf1730c53bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93cb630e0085fb249b1441082172ce7e0c429224481ff9acbeedc9d183b28218",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-20T16:49:54Z",
    "title_canon_sha256": "3072393d480d03b511e5a22b80ba0a592a8ea0ad10cc7fda7cdc54a6e6e1f6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05450",
    "kind": "arxiv",
    "version": 3
  }
}