Pith Number

pith:SFHNR2X6

pith:2013:SFHNR2X6VDTL2DON4CV6M2HNNR

not attested not anchored not stored refs pending

Fractional variational problems depending on fractional derivatives of differentiable functions with application to nonlinear chaotic systems

Matheus Jatkoske Lazo

arxiv:1307.8331 v1 · 2013-07-31 · math-ph · math.MP · math.OC · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFHNR2X6VDTL2DON4CV6M2HNNR}

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	2026-05-18T03:17:01.536818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914ed8eafea8e6bd0dcde0abe668ed6c66cd30a5df95dd2a3f37fc5e49efdc64

Aliases

arxiv: 1307.8331 · arxiv_version: 1307.8331v1 · doi: 10.48550/arxiv.1307.8331 · pith_short_12: SFHNR2X6VDTL · pith_short_16: SFHNR2X6VDTL2DON · pith_short_8: SFHNR2X6

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/SFHNR2X6VDTL2DON4CV6M2HNNR \
  | 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: 914ed8eafea8e6bd0dcde0abe668ed6c66cd30a5df95dd2a3f37fc5e49efdc64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6dd1d6c0e372f64333b40bacf3caad24a6d6a6c4ef7ccb420acd6245f377f1",
    "cross_cats_sorted": [
      "math.MP",
      "math.OC",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-31T14:24:13Z",
    "title_canon_sha256": "4348f8be3b46db800832f213886af9dc519ec6ad7979434e490ff08987cf33dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8331",
    "kind": "arxiv",
    "version": 1
  }
}