Pith Number

pith:O62IVY76

pith:2026:O62IVY76XVDHJDD6NEB7XDAQGG

not attested not anchored not stored refs pending

Online Spectral Deflation for State Constrained Optimal Control Problems

Francesco Ballarin, Sanghyun Lee, Teeratorn Kadeethum, Youngsoo Choi

arxiv:2606.17971 v1 · 2026-06-16 · cs.CE · 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{O62IVY76XVDHJDD6NEB7XDAQGG}

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	2026-06-19T16:10:44.837571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b48ae3febd46748c7e6903fb8c1031bfb64d1938632acf0da284a70105aa8d

Aliases

arxiv: 2606.17971 · arxiv_version: 2606.17971v1 · doi: 10.48550/arxiv.2606.17971 · pith_short_12: O62IVY76XVDH · pith_short_16: O62IVY76XVDHJDD6 · pith_short_8: O62IVY76

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/O62IVY76XVDHJDD6NEB7XDAQGG \
  | 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: 77b48ae3febd46748c7e6903fb8c1031bfb64d1938632acf0da284a70105aa8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657d36dc0e5047f0bb008458a124200c9a263c3e87927ce35c74965eda5e0b7b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-06-16T14:27:47Z",
    "title_canon_sha256": "86ca6b91ffac47a503fd1da42e0d128c2454cfa3430fcc2eb1966869ad2301ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17971",
    "kind": "arxiv",
    "version": 1
  }
}