Pith Number

pith:PTCPNWC3

pith:2026:PTCPNWC34R2RELNDCLGNHJEYWR

not attested not anchored not stored refs pending

A Spline-based Physics-Informed Numerical Scheme: Accurate Smooth Solutions for Differential Equations

Ayman Mourad, Fatima Mroue

arxiv:2605.19564 v1 · 2026-05-19 · math.NA · cs.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTCPNWC34R2RELNDCLGNHJEYWR}

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	2026-05-20T01:05:51.959500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc4f6d85be475122da312ccd3a498b4668bb3449f53b20f5a6c0f504525468f

Aliases

arxiv: 2605.19564 · arxiv_version: 2605.19564v1 · doi: 10.48550/arxiv.2605.19564 · pith_short_12: PTCPNWC34R2R · pith_short_16: PTCPNWC34R2RELND · pith_short_8: PTCPNWC3

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/PTCPNWC34R2RELNDCLGNHJEYWR \
  | 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: 7cc4f6d85be475122da312ccd3a498b4668bb3449f53b20f5a6c0f504525468f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fd5b9e8045070df59b47f1ff27932fdc145227625373a06a8040916b17cf5a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-19T09:10:08Z",
    "title_canon_sha256": "66bb7db6fa561914fe8804188f2dd6949f069011aa61a07357bc5fc59a68203e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19564",
    "kind": "arxiv",
    "version": 1
  }
}