Pith Number

pith:CV5LLZWP

pith:2015:CV5LLZWPABGVLPCXYQBWKJSKJF

not attested not anchored not stored refs pending

Numerical solution for fractional variational problems using the Jacobi polynomials

Hassan Khosravian-Arab, Ricardo Almeida

arxiv:1512.01686 v1 · 2015-12-05 · 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{CV5LLZWPABGVLPCXYQBWKJSKJF}

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	2026-05-18T01:25:10.653875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157ab5e6cf004d55bc57c40365264a49720753060fd971761608ed18310585df

Aliases

arxiv: 1512.01686 · arxiv_version: 1512.01686v1 · doi: 10.48550/arxiv.1512.01686 · pith_short_12: CV5LLZWPABGV · pith_short_16: CV5LLZWPABGVLPCX · pith_short_8: CV5LLZWP

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/CV5LLZWPABGVLPCXYQBWKJSKJF \
  | 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: 157ab5e6cf004d55bc57c40365264a49720753060fd971761608ed18310585df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c73e3391e7cf56032851b771fb361eb39ef41b82c05a1dfc0f3b4222917d4db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-12-05T16:20:16Z",
    "title_canon_sha256": "1c8d0cddc81c47e3674a44cc1f6c0afbe8698a759568e2c44fe05625c14db75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01686",
    "kind": "arxiv",
    "version": 1
  }
}