Pith Number

pith:C4I2SKZP

pith:2017:C4I2SKZPGNLCVPOWQB5BEHOK56

not attested not anchored not stored refs pending

Fast procedures for Caputo fractional derivative and its applications to ordinary and partial differential equations

Aijie Cheng, Hong Wang, Xiaoli Li, Zhengguang Liu

arxiv:1710.11593 v2 · 2017-10-31 · math.AP · 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{C4I2SKZPGNLCVPOWQB5BEHOK56}

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	2026-05-18T00:24:42.182927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1711a92b2f33562abdd6807a121dcaef8063188b337ba6d0a4e1f7457bf034ad

Aliases

arxiv: 1710.11593 · arxiv_version: 1710.11593v2 · doi: 10.48550/arxiv.1710.11593 · pith_short_12: C4I2SKZPGNLC · pith_short_16: C4I2SKZPGNLCVPOW · pith_short_8: C4I2SKZP

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/C4I2SKZPGNLCVPOWQB5BEHOK56 \
  | 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: 1711a92b2f33562abdd6807a121dcaef8063188b337ba6d0a4e1f7457bf034ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5328e510b466c9f7cf17659a4f4a9db642ba6ee0cf1bbbdc48a64c32fae91077",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-31T17:11:30Z",
    "title_canon_sha256": "295aa5134b3d7548ac18fa3bb10fc5c10d1d9dab99c17e0da0c59ca407c0664d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11593",
    "kind": "arxiv",
    "version": 2
  }
}