Pith Number

pith:4FQJCOJJ

pith:2019:4FQJCOJJNRQLVCEF6AW3BOMQLH

not attested not anchored not stored refs pending

The unified theory of shifted convolution quadrature for fractional calculus

Baoli Yin, Hong Li, Yang Liu, Zhimin Zhang

arxiv:1908.01136 v3 · 2019-08-03 · 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{4FQJCOJJNRQLVCEF6AW3BOMQLH}

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	2026-07-04T23:52:22.528192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1609139296c60ba8885f02db0b99059d3d90e2a16fb907979e32e09c10d9745

Aliases

arxiv: 1908.01136 · arxiv_version: 1908.01136v3 · doi: 10.48550/arxiv.1908.01136 · pith_short_12: 4FQJCOJJNRQL · pith_short_16: 4FQJCOJJNRQLVCEF · pith_short_8: 4FQJCOJJ

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/4FQJCOJJNRQLVCEF6AW3BOMQLH \
  | 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: e1609139296c60ba8885f02db0b99059d3d90e2a16fb907979e32e09c10d9745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2885047eb23296175502c37345c9114e0a2915269a5337dd3b1b50905d5797b0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-03T09:14:35Z",
    "title_canon_sha256": "d9133184879d074378e6d018ac4e5ec0beadf442d9c66e929d6b233a15c451e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01136",
    "kind": "arxiv",
    "version": 3
  }
}