Pith Number

pith:BSD467HQ

pith:2009:BSD467HQKXEAYJ6V5PALHTCOWA

not attested not anchored not stored refs pending

An efficient method for multiobjective optimal control and optimal control subject to integral constraints

Ajeet Kumar, Alexander Vladimirsky

arxiv:0901.3977 v5 · 2009-01-26 · math.OC · math.AP · math.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{BSD467HQKXEAYJ6V5PALHTCOWA}

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	2026-05-18T01:23:26.825449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c87cf7cf055c80c27d5ebc0b3cc4eb03e11d01a679e71325bacbce52bd72380

Aliases

arxiv: 0901.3977 · arxiv_version: 0901.3977v5 · doi: 10.48550/arxiv.0901.3977 · pith_short_12: BSD467HQKXEA · pith_short_16: BSD467HQKXEAYJ6V · pith_short_8: BSD467HQ

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/BSD467HQKXEAYJ6V5PALHTCOWA \
  | 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: 0c87cf7cf055c80c27d5ebc0b3cc4eb03e11d01a679e71325bacbce52bd72380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bdd53ba90028578d7209d10fc8858743e91c970e5b1b51f98599ac1e7e4f88a",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-01-26T11:11:38Z",
    "title_canon_sha256": "f5fc730ad2c421701173407f995b1e557df53a59aa1ece417af3696e6b3f1f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3977",
    "kind": "arxiv",
    "version": 5
  }
}