Pith Number

pith:DGD7MWZQ

pith:2012:DGD7MWZQHYVD4NM3FREGS4PHPI

not attested not anchored not stored refs pending

Numerical Approximations of Fractional Derivatives with Applications

Delfim F. M. Torres, Ricardo Almeida, Shakoor Pooseh

arxiv:1208.2588 v1 · 2012-08-13 · math.OC · 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{DGD7MWZQHYVD4NM3FREGS4PHPI}

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	2026-05-18T03:26:10.325998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1987f65b303e2a3e359b2c486971e77a0cc3401e2d6476bce44bea48306bc417

Aliases

arxiv: 1208.2588 · arxiv_version: 1208.2588v1 · doi: 10.48550/arxiv.1208.2588 · pith_short_12: DGD7MWZQHYVD · pith_short_16: DGD7MWZQHYVD4NM3 · pith_short_8: DGD7MWZQ

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/DGD7MWZQHYVD4NM3FREGS4PHPI \
  | 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: 1987f65b303e2a3e359b2c486971e77a0cc3401e2d6476bce44bea48306bc417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec03791c203f223e0b044b0436e01d9e5409be84d4f4d6b56a2405987582c57",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-08-13T13:49:11Z",
    "title_canon_sha256": "09e179470bf4fd6b35d65fccc2f5c4eb26364a6f10d78f50ae9856c5eb68f8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2588",
    "kind": "arxiv",
    "version": 1
  }
}