Pith Number

pith:ZYY4QPLZ

pith:2015:ZYY4QPLZWEJI3VINSDILP5YTT2

not attested not anchored not stored refs pending

Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations

Jiwei Zhang, Qian Zhang, Shidong Jiang, Zhimin Zhang

arxiv:1511.03453 v1 · 2015-11-11 · 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{ZYY4QPLZWEJI3VINSDILP5YTT2}

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	2026-05-18T01:27:14.563973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce31c83d79b1128dd50d90d0b7f7139eacc262b9ad7713854223ad489e32d258

Aliases

arxiv: 1511.03453 · arxiv_version: 1511.03453v1 · doi: 10.48550/arxiv.1511.03453 · pith_short_12: ZYY4QPLZWEJI · pith_short_16: ZYY4QPLZWEJI3VIN · pith_short_8: ZYY4QPLZ

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/ZYY4QPLZWEJI3VINSDILP5YTT2 \
  | 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: ce31c83d79b1128dd50d90d0b7f7139eacc262b9ad7713854223ad489e32d258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9f357f03ec27d5d8e3717859560fba0aa007c00bd11a7b8cae74e992842dff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-11T11:08:15Z",
    "title_canon_sha256": "ee96a228e55da6f2f20f75b2f92445eeaad780c27643dfd0057de46f5e62193c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03453",
    "kind": "arxiv",
    "version": 1
  }
}