Pith Number

pith:EKAETU2N

pith:2024:EKAETU2NCLU7ITI3XYHL7PUR7E

not attested not anchored not stored refs pending

Incomplete (even and odd) trigonometric splines in the problems of constructing approximate solutions of second order linear differential equations

Ludmila Rybachuk, Volodymyr Denysiuk

arxiv:2411.13524 v1 · 2024-11-20 · math.NA · cs.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{EKAETU2NCLU7ITI3XYHL7PUR7E}

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	2026-07-05T09:38:18.599472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228049d34d12e9f44d1bbe0ebfbe91f90b4f9cafcad46cdb3d0f5e537e8b1703

Aliases

arxiv: 2411.13524 · arxiv_version: 2411.13524v1 · doi: 10.48550/arxiv.2411.13524 · pith_short_12: EKAETU2NCLU7 · pith_short_16: EKAETU2NCLU7ITI3 · pith_short_8: EKAETU2N

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/EKAETU2NCLU7ITI3XYHL7PUR7E \
  | 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: 228049d34d12e9f44d1bbe0ebfbe91f90b4f9cafcad46cdb3d0f5e537e8b1703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a458637565d87fa9c2854b49cef96fc7aad7673cc3cc2813ea4da55c6fb47a1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-20T18:21:04Z",
    "title_canon_sha256": "36b3dd1851dcef6b1c658fa9b86e2f7cf5a64228578d4b85527dc672794f8f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13524",
    "kind": "arxiv",
    "version": 1
  }
}