Pith Number

pith:KC4CEMZJ

pith:2025:KC4CEMZJYV6BQ2MONJQDI27DZ7

not attested not anchored not stored refs pending

Extending Data to Improve Stability and Error Estimates Using Asymmetric Kansa-like Methods to Solve PDEs

Francis J. Narcowich, Joseph D. Ward, Thomas Hangelbroek

arxiv:2507.15137 v1 · 2025-07-20 · 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{KC4CEMZJYV6BQ2MONJQDI27DZ7}

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	2026-07-05T11:40:19.011480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b8223329c57c18698e6a60346be3cfc3c458b83615ff2e2a7e35e6d7c22558

Aliases

arxiv: 2507.15137 · arxiv_version: 2507.15137v1 · doi: 10.48550/arxiv.2507.15137 · pith_short_12: KC4CEMZJYV6B · pith_short_16: KC4CEMZJYV6BQ2MO · pith_short_8: KC4CEMZJ

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/KC4CEMZJYV6BQ2MONJQDI27DZ7 \
  | 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: 50b8223329c57c18698e6a60346be3cfc3c458b83615ff2e2a7e35e6d7c22558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a12ac9a97e4d1cf4eeb0955afffba3c3689b88e3ca1ed1ced6e0d0b6617ab1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-20T22:20:16Z",
    "title_canon_sha256": "283b191262c6781dbc1d8cab5ac2425623dcea5dd522b2e5dc7f8b631d6f424f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15137",
    "kind": "arxiv",
    "version": 1
  }
}