Pith Number

pith:GM2OABQF

pith:2009:GM2OABQFTXNRNGRP4O6P6U3BQQ

not attested not anchored not stored refs pending

A monotonic method for solving nonlinear optimal control problems

Gabriel Turinici (CEREMADE), Julien Salomon (CEREMADE)

arxiv:0906.3361 v3 · 2009-06-18 · 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{GM2OABQFTXNRNGRP4O6P6U3BQQ}

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	2026-05-18T04:36:40.558272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3334e006059ddb169a2fe3bcff53618434661d8febecfc72994e6eb8644ca1f1

Aliases

arxiv: 0906.3361 · arxiv_version: 0906.3361v3 · doi: 10.48550/arxiv.0906.3361 · pith_short_12: GM2OABQFTXNR · pith_short_16: GM2OABQFTXNRNGRP · pith_short_8: GM2OABQF

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/GM2OABQFTXNRNGRP4O6P6U3BQQ \
  | 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: 3334e006059ddb169a2fe3bcff53618434661d8febecfc72994e6eb8644ca1f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1046d0ee7a6707130cf3e8c0f35bcf3297a78f00b13e0c8356ee0e619b47e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-06-18T06:58:43Z",
    "title_canon_sha256": "1f367e136f6a89b1b01fdd636e4673a159d85f5fd2a81b0a1576b75446b18047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3361",
    "kind": "arxiv",
    "version": 3
  }
}