Pith Number

pith:HVK6BPF6

pith:2018:HVK6BPF6VXZW4BKKYHT3NFPUDI

not attested not anchored not stored refs pending

Fourier series of Jacobi-Sobolev polynomial

Judit M\'inguez, \'Oscar Ciaurri

arxiv:1806.08105 v2 · 2018-06-21 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVK6BPF6VXZW4BKKYHT3NFPUDI}

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	2026-05-18T00:12:37.640957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d55e0bcbeadf36e054ac1e7b695f41a181db83536cdbb8c1b6104ab14f8a723

Aliases

arxiv: 1806.08105 · arxiv_version: 1806.08105v2 · doi: 10.48550/arxiv.1806.08105 · pith_short_12: HVK6BPF6VXZW · pith_short_16: HVK6BPF6VXZW4BKK · pith_short_8: HVK6BPF6

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/HVK6BPF6VXZW4BKKYHT3NFPUDI \
  | 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: 3d55e0bcbeadf36e054ac1e7b695f41a181db83536cdbb8c1b6104ab14f8a723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe23cbe2921308e86803fef90dff98b3810d8b2f2b9276b308982e31605e3303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-21T08:28:33Z",
    "title_canon_sha256": "fc5b169e0da3ba885d581b6cb7a6610f490cb69cd68475a5753e1aa46d72cbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08105",
    "kind": "arxiv",
    "version": 2
  }
}