Pith Number

pith:FIZG3L5A

pith:2013:FIZG3L5APFK6UAUSXPFMBQRGHJ

not attested not anchored not stored refs pending

A Numerical Slow Manifold Approach to Model Reduction for Optimal Control of Multiple Time Scale ODE

Dirk Lebiedz, Marcel Rehberg

arxiv:1302.1759 v1 · 2013-02-07 · 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{FIZG3L5APFK6UAUSXPFMBQRGHJ}

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	2026-05-18T03:34:14.680855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a326dafa07955ea0292bbcac0c2263a6fc31401100f77801dfd96844d048dd0

Aliases

arxiv: 1302.1759 · arxiv_version: 1302.1759v1 · doi: 10.48550/arxiv.1302.1759 · pith_short_12: FIZG3L5APFK6 · pith_short_16: FIZG3L5APFK6UAUS · pith_short_8: FIZG3L5A

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/FIZG3L5APFK6UAUSXPFMBQRGHJ \
  | 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: 2a326dafa07955ea0292bbcac0c2263a6fc31401100f77801dfd96844d048dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56015783973befa54ee3af8300e870d216f1a86f3484e1238bf63e3e0980807e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-02-07T14:35:10Z",
    "title_canon_sha256": "e6384066737d6d864ba6b46a0b8777c716b797a3f14dcff694033e5736c6462d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1759",
    "kind": "arxiv",
    "version": 1
  }
}