Pith Number

pith:PQLNB4GP

pith:2018:PQLNB4GPXQVIGOWDCGHKCLFIDD

not attested not anchored not stored refs pending

A Bivariate Spline Solution to the Exterior Helmholtz Equation and Its Applications

Ming Jun Lai, Shelvean Kapita

arxiv:1811.07833 v1 · 2018-11-19 · math.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{PQLNB4GPXQVIGOWDCGHKCLFIDD}

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	2026-05-18T00:00:23.355372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c16d0f0cfbc2a833ac3118ea12ca818d7a7b9c5834b6587362604537ffbc44e

Aliases

arxiv: 1811.07833 · arxiv_version: 1811.07833v1 · doi: 10.48550/arxiv.1811.07833 · pith_short_12: PQLNB4GPXQVI · pith_short_16: PQLNB4GPXQVIGOWD · pith_short_8: PQLNB4GP

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/PQLNB4GPXQVIGOWDCGHKCLFIDD \
  | 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: 7c16d0f0cfbc2a833ac3118ea12ca818d7a7b9c5834b6587362604537ffbc44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434f670ecbc45785b79ce53a897821b12023725b3e3e6c2ce0107b5a5199a2f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-19T17:45:36Z",
    "title_canon_sha256": "91dd4bb6030ed2fc1c524f8fe0c6b0e12cc9cbd417d215ef451234a9e35bc9cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07833",
    "kind": "arxiv",
    "version": 1
  }
}