Pith Number

pith:EE2PKAVQ

pith:2012:EE2PKAVQI74ACGL76HEKREM3DF

not attested not anchored not stored refs pending

Implicit-Explicit Runge-Kutta schemes for numerical discretization of optimal control problems

Lorenzo Pareschi, Michael Herty, Sonja Steffensen

arxiv:1202.1166 v1 · 2012-02-06 · math.NA · 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{EE2PKAVQI74ACGL76HEKREM3DF}

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	2026-05-18T04:02:54.967474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2134f502b047f801197ff1c8a8919b194580d43bce191b5590bbf13bcb4d97f3

Aliases

arxiv: 1202.1166 · arxiv_version: 1202.1166v1 · doi: 10.48550/arxiv.1202.1166 · pith_short_12: EE2PKAVQI74A · pith_short_16: EE2PKAVQI74ACGL7 · pith_short_8: EE2PKAVQ

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/EE2PKAVQI74ACGL76HEKREM3DF \
  | 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: 2134f502b047f801197ff1c8a8919b194580d43bce191b5590bbf13bcb4d97f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f892b67e921282d71da5b06d1d6d0d37c23b018377215ba10ef9b06fbcb40d",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-06T15:13:07Z",
    "title_canon_sha256": "6f321a54cc944be4800897e38f6a9cea03a22829eed0fc562c852adec2af7a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1166",
    "kind": "arxiv",
    "version": 1
  }
}