Pith Number

pith:GJNJIZMW

pith:2015:GJNJIZMWE2BLQUGCICPTFIX36M

not attested not anchored not stored refs pending

Approximations in Sobolev Spaces by Prolate Spheroidal Wave Functions

Abderrazek Karoui, Aline Bonami

arxiv:1509.02651 v1 · 2015-09-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJNJIZMWE2BLQUGCICPTFIX36M}

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	2026-05-18T00:45:16.474367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

325a9465962682b850c2409f32a2fbf31b361bfe46d872b82621d25253b4decb

Aliases

arxiv: 1509.02651 · arxiv_version: 1509.02651v1 · doi: 10.48550/arxiv.1509.02651 · pith_short_12: GJNJIZMWE2BL · pith_short_16: GJNJIZMWE2BLQUGC · pith_short_8: GJNJIZMW

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/GJNJIZMWE2BLQUGCICPTFIX36M \
  | 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: 325a9465962682b850c2409f32a2fbf31b361bfe46d872b82621d25253b4decb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6450e8a26a56459e9a1a85a9b096e9f8c4cf84a8e0d9b07bd78c473e1ec844e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-09T06:44:18Z",
    "title_canon_sha256": "d163c5f3d5efd650e61c271b121f777533be3cfef92418be1ccfb7bc37397282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02651",
    "kind": "arxiv",
    "version": 1
  }
}