Pith Number

pith:KFZWBQHW

pith:2006:KFZWBQHWCVWVNW5NGYDEUCT3Y3

not attested not anchored not stored refs pending

Noether's Theorem for Fractional Optimal Control Problems

Delfim F. M. Torres, Gastao S. F. Frederico

arxiv:math/0603598 v1 · 2006-03-25 · math.OC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFZWBQHWCVWVNW5NGYDEUCT3Y3}

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	2026-05-18T04:38:57.366648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517360c0f6156d56dbad36064a0a7bc6dea2b20576e970d700698cc275a8b949

Aliases

arxiv: math/0603598 · arxiv_version: math/0603598v1 · doi: 10.48550/arxiv.math/0603598 · pith_short_12: KFZWBQHWCVWV · pith_short_16: KFZWBQHWCVWVNW5N · pith_short_8: KFZWBQHW

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/KFZWBQHWCVWVNW5NGYDEUCT3Y3 \
  | 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: 517360c0f6156d56dbad36064a0a7bc6dea2b20576e970d700698cc275a8b949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d561764eb1e4b2b2dd72b7f90d6e31b5d7e6de4f9cb5d28d639b2c0e184e7e68",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2006-03-25T19:08:51Z",
    "title_canon_sha256": "8f23546719cb2e46aec942c7ffce0d11f9a900dc74631143acee06a8a7ed635b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603598",
    "kind": "arxiv",
    "version": 1
  }
}