Pith Number

pith:4N4KKXC3

pith:2024:4N4KKXC3GQCFL6AP4CYY6WRACN

not attested not anchored not stored refs pending

The Dissipative Effect of Caputo--Time-Fractional Derivatives and its Implications for the Solutions of Nonlinear Wave Equations

J. E. Mac\'ias-D\'iaz, Jes\'us Cuevas-Maraver, Julia Cantis\'an, Panayotis G. Kevrekidis, Tassos Bountis

arxiv:2406.08912 v1 · 2024-06-13 · nlin.PS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N4KKXC3GQCFL6AP4CYY6WRACN}

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	2026-07-05T08:31:25.936794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e378a55c5b340455f80fe0b18f5a20137e8bf6cb69ff108170fe525cf013c931

Aliases

arxiv: 2406.08912 · arxiv_version: 2406.08912v1 · doi: 10.48550/arxiv.2406.08912 · pith_short_12: 4N4KKXC3GQCF · pith_short_16: 4N4KKXC3GQCFL6AP · pith_short_8: 4N4KKXC3

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/4N4KKXC3GQCFL6AP4CYY6WRACN \
  | 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: e378a55c5b340455f80fe0b18f5a20137e8bf6cb69ff108170fe525cf013c931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a771c8619855aabd5d5dacb6eec8a1b7e9d9223e24e8d79738d4841175c4b66c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2024-06-13T08:17:30Z",
    "title_canon_sha256": "2f800312b4dae3b4299e3f835199628bcb9127224bce808f3dcb1fbebfefd233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.08912",
    "kind": "arxiv",
    "version": 1
  }
}