Pith Number

pith:YAM2QER7

pith:2012:YAM2QER73ZFTYMK3JCAYAMV4NZ

not attested not anchored not stored refs pending

Fractional order differentiation by integration with Jacobi polynomials

Da-Yan Liu (KAUST-CEMSE), LAGIS), LSIS), Olivier Gibaru (INRIA Lille - Nord Europe, Taous-Meriem Laleg-Kirati (KAUST-CEMSE), Wilfrid Perruquetti (INRIA Lille - Nord Europe

arxiv:1209.1192 v1 · 2012-09-06 · 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{YAM2QER73ZFTYMK3JCAYAMV4NZ}

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	2026-05-18T03:46:06.299799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c019a8123fde4b3c315b48818032bc6e7afb620ef267961c4fcc51f972d3f64a

Aliases

arxiv: 1209.1192 · arxiv_version: 1209.1192v1 · doi: 10.48550/arxiv.1209.1192 · pith_short_12: YAM2QER73ZFT · pith_short_16: YAM2QER73ZFTYMK3 · pith_short_8: YAM2QER7

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/YAM2QER73ZFTYMK3JCAYAMV4NZ \
  | 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: c019a8123fde4b3c315b48818032bc6e7afb620ef267961c4fcc51f972d3f64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7e70e559ca0a7b9ee5f88188f9926a62fc596de9358c94c2858c388c62ba8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-06T06:35:43Z",
    "title_canon_sha256": "568cdff4317aad01a877dcd5cd8b0dd4a4a5cf0026ed1891232f18bfee396e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1192",
    "kind": "arxiv",
    "version": 1
  }
}