Pith Number

pith:DTU54FAK

pith:2025:DTU54FAKVJUMZWBH7WBBDU6OFG

not attested not anchored not stored refs pending

Direct Pseudospectral Optimal Control by Orthogonal Polynomial Integral Collocation

Ian M. Down, Manoranjan Majji, Thomas L. Ahrens

arxiv:2505.19454 v2 · 2025-05-26 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTU54FAKVJUMZWBH7WBBDU6OFG}

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	2026-07-05T12:06:13.124212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce9de140aaa68ccd827fd8211d3ce29839f541c53a59e4fa4d81a38655c82d7

Aliases

arxiv: 2505.19454 · arxiv_version: 2505.19454v2 · doi: 10.48550/arxiv.2505.19454 · pith_short_12: DTU54FAKVJUM · pith_short_16: DTU54FAKVJUMZWBH · pith_short_8: DTU54FAK

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/DTU54FAKVJUMZWBH7WBBDU6OFG \
  | 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: 1ce9de140aaa68ccd827fd8211d3ce29839f541c53a59e4fa4d81a38655c82d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d658fc60cf03d22c0226133193906f20412a8cd35d4722382136e5f4c2080b1",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-26T03:20:01Z",
    "title_canon_sha256": "3a7107774fd1d36a9630690094f54cd40eda9e5cb973a5457282e25d150ec53b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19454",
    "kind": "arxiv",
    "version": 2
  }
}