Pith Number

pith:OPH4QMZ4

pith:2018:OPH4QMZ4G3TEIXR4ZKEIRDTSYV

not attested not anchored not stored refs pending

A Fourier-Bessel method with a regularization strategy for the boundary value problems of the Helmholtz equation

Deyue Zhang, Fenglin Sun, Yan Ma, Yukun Guo

arxiv:1810.01055 v1 · 2018-10-02 · 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{OPH4QMZ4G3TEIXR4ZKEIRDTSYV}

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	2026-05-18T00:04:19.013964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73cfc8333c36e6445e3cca88888e72c56293ec8e0230518fc15c13cb8ca12e39

Aliases

arxiv: 1810.01055 · arxiv_version: 1810.01055v1 · doi: 10.48550/arxiv.1810.01055 · pith_short_12: OPH4QMZ4G3TE · pith_short_16: OPH4QMZ4G3TEIXR4 · pith_short_8: OPH4QMZ4

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/OPH4QMZ4G3TEIXR4ZKEIRDTSYV \
  | 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: 73cfc8333c36e6445e3cca88888e72c56293ec8e0230518fc15c13cb8ca12e39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa44030303b3c9a3fb04ef8d8cb4502963cf4ea5b4b2c98d41f0c492b5c07bef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-10-02T03:49:24Z",
    "title_canon_sha256": "970abddd55d4d06c0e787518fbddc6de588ca793d46c85da3f3d1ca8c15ff80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01055",
    "kind": "arxiv",
    "version": 1
  }
}