Pith Number

pith:YCJUZVXZ

pith:2019:YCJUZVXZ7KLUBBU6EJFFFZFR6C

not attested not anchored not stored refs pending

Finite difference/spectral approximations for the two-dimensional time Caputo-Fabrizio fractional diffusion equation

Fan Yu, Minghua Chen

arxiv:1906.00328 v3 · 2019-06-02 · math.NA · cs.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{YCJUZVXZ7KLUBBU6EJFFFZFR6C}

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	2026-07-05T01:28:48.340045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0934cd6f9fa9740869e224a52e4b1f0a89b236732601782683eea4fdd7b5b1a

Aliases

arxiv: 1906.00328 · arxiv_version: 1906.00328v3 · doi: 10.48550/arxiv.1906.00328 · pith_short_12: YCJUZVXZ7KLU · pith_short_16: YCJUZVXZ7KLUBBU6 · pith_short_8: YCJUZVXZ

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/YCJUZVXZ7KLUBBU6EJFFFZFR6C \
  | 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: c0934cd6f9fa9740869e224a52e4b1f0a89b236732601782683eea4fdd7b5b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbbe16a75726136106bf2c8b1790c62d77b949bd0ec0ac8167b26e203b65cfc6",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-02T02:29:58Z",
    "title_canon_sha256": "5d1bb64b9cf4eb33270014673727002df8a4150d74eae9b2f6bed6470fcd9864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00328",
    "kind": "arxiv",
    "version": 3
  }
}