Pith Number

pith:QSA3UNQM

pith:2010:QSA3UNQMP42A6WEHCXF55SFCWV

not attested not anchored not stored refs pending

Discrete-Time Fractional Variational Problems

Delfim F. M. Torres, Nuno R. O. Bastos, Rui A. C. Ferreira

arxiv:1005.0252 v1 · 2010-05-03 · 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{QSA3UNQMP42A6WEHCXF55SFCWV}

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	2026-05-18T04:38:15.436834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8481ba360c7f340f588715cbdec8a2b54fc6047a4644586730cbbc9fd70de5c1

Aliases

arxiv: 1005.0252 · arxiv_version: 1005.0252v1 · doi: 10.48550/arxiv.1005.0252 · pith_short_12: QSA3UNQMP42A · pith_short_16: QSA3UNQMP42A6WEH · pith_short_8: QSA3UNQM

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/QSA3UNQMP42A6WEHCXF55SFCWV \
  | 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: 8481ba360c7f340f588715cbdec8a2b54fc6047a4644586730cbbc9fd70de5c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78cf871bec67f9cd17a27236fc0437862f053ced208c14e3d48c8f1cc93d0a4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-05-03T10:44:00Z",
    "title_canon_sha256": "f64e26cf0582dd1d0b41afca5268e3be0453981cc26e1cd8f3d0ee20d5379b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0252",
    "kind": "arxiv",
    "version": 1
  }
}