Pith Number

pith:AAT6GAN3

pith:2016:AAT6GAN3WNAH2WPHRW2TAORRAM

not attested not anchored not stored refs pending

Convergence Rate for a Radau hp Collocation Method Applied to Constrained Optimal Control

Anil V. Rao, Hongyan Hou, Subhashree Mohapatra, William W. Hager

arxiv:1605.02121 v5 · 2016-05-07 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAT6GAN3WNAH2WPHRW2TAORRAM}

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	2026-06-04T18:09:39.747808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0027e301bbb3407d59e78db5303a310320290abc8e3f975d66ab4d19c53df736

Aliases

arxiv: 1605.02121 · arxiv_version: 1605.02121v5 · doi: 10.48550/arxiv.1605.02121 · pith_short_12: AAT6GAN3WNAH · pith_short_16: AAT6GAN3WNAH2WPH · pith_short_8: AAT6GAN3

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/AAT6GAN3WNAH2WPHRW2TAORRAM \
  | 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: 0027e301bbb3407d59e78db5303a310320290abc8e3f975d66ab4d19c53df736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d28f12b144c12d9ac63af327a703a189f0ad2c43516a6fbc9ee421f6113216c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-07T00:35:57Z",
    "title_canon_sha256": "5e047a7ae582b25fb1f3f69cc9703466be63acd9354180f966545051411fa1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02121",
    "kind": "arxiv",
    "version": 5
  }
}