Pith Number

pith:A3IJ2SJL

pith:2013:A3IJ2SJLZGOZJ5FOKJTW7EZQNA

not attested not anchored not stored refs pending

Numerical Approximations to Fractional Problems of the Calculus of Variations and Optimal Control

Delfim F. M. Torres, Ricardo Almeida, Shakoor Pooseh

arxiv:1310.5377 v2 · 2013-10-20 · 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{A3IJ2SJLZGOZJ5FOKJTW7EZQNA}

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	2026-05-18T02:51:48.518006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06d09d492bc99d94f4ae52676f9330680fd80c8a4f9133db94adc9ee3c9a2b05

Aliases

arxiv: 1310.5377 · arxiv_version: 1310.5377v2 · doi: 10.48550/arxiv.1310.5377 · pith_short_12: A3IJ2SJLZGOZ · pith_short_16: A3IJ2SJLZGOZJ5FO · pith_short_8: A3IJ2SJL

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/A3IJ2SJLZGOZJ5FOKJTW7EZQNA \
  | 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: 06d09d492bc99d94f4ae52676f9330680fd80c8a4f9133db94adc9ee3c9a2b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2b8c5dfce80f74a8be4235dcfc65b597eeb727c6f188a3c0a8982710986575",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-20T21:55:29Z",
    "title_canon_sha256": "10ab6dba8810751f0f0da0ec65a4cecaf11c6d14cb94f1048deef3153a6780fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5377",
    "kind": "arxiv",
    "version": 2
  }
}