Pith Number

pith:3D5F54QD

pith:2011:3D5F54QD3O5PAJZXMWHH4OOUBP

not attested not anchored not stored refs pending

Symmetry Reduction of Optimal Control Systems and Principal Connections

Tomoki Ohsawa

arxiv:1105.5174 v3 · 2011-05-26 · math.OC · cs.SY · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D5F54QD3O5PAJZXMWHH4OOUBP}

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	2026-05-18T02:27:19.249362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8fa5ef203dbbaf02737658e7e39d40bf11d22b94b11820cc753e3f5b0d9f3d8

Aliases

arxiv: 1105.5174 · arxiv_version: 1105.5174v3 · doi: 10.48550/arxiv.1105.5174 · pith_short_12: 3D5F54QD3O5P · pith_short_16: 3D5F54QD3O5PAJZX · pith_short_8: 3D5F54QD

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/3D5F54QD3O5PAJZXMWHH4OOUBP \
  | 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: d8fa5ef203dbbaf02737658e7e39d40bf11d22b94b11820cc753e3f5b0d9f3d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6cbbba9fe038abc152b537874d3fe6b31bf1f33a19ab3d116455ddab74cadb9",
    "cross_cats_sorted": [
      "cs.SY",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-05-26T00:00:33Z",
    "title_canon_sha256": "5583cd9426a702405ef9551c6cada43e6a9c558738d4ce1703669aa56d13101a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5174",
    "kind": "arxiv",
    "version": 3
  }
}