Pith Number

pith:R34GZJRP

pith:2012:R34GZJRPR4P7JN6S2JUPPN25L5

not attested not anchored not stored refs pending

Higher order variational time discretization of optimal control problems

C.M. Campos, O. Junge, S. Ober-Bl\"obaum

arxiv:1204.6171 v1 · 2012-04-27 · math.OC · 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{R34GZJRPR4P7JN6S2JUPPN25L5}

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	2026-05-18T03:56:46.829374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef86ca62f8f1ff4b7d2d268f7b75d5f41ae24d814b7eed507c2253fae209bb6

Aliases

arxiv: 1204.6171 · arxiv_version: 1204.6171v1 · doi: 10.48550/arxiv.1204.6171 · pith_short_12: R34GZJRPR4P7 · pith_short_16: R34GZJRPR4P7JN6S · pith_short_8: R34GZJRP

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/R34GZJRPR4P7JN6S2JUPPN25L5 \
  | 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: 8ef86ca62f8f1ff4b7d2d268f7b75d5f41ae24d814b7eed507c2253fae209bb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bee6d15c818d842edf08006cad37af0db13c5cbab381b0e3a1eeb705210362c",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-04-27T11:29:50Z",
    "title_canon_sha256": "6bacd0be5fa424d21b5e00eb1e9befc028adbf4dc9fda374aba921466b34f701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6171",
    "kind": "arxiv",
    "version": 1
  }
}