Pith Number

pith:4QJOI2V4

pith:2016:4QJOI2V4LZ5JU5AKKJZTDTJVYA

not attested not anchored not stored refs pending

Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods

Liwei Xu, Tao Yin

arxiv:1609.00583 v2 · 2016-09-02 · 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{4QJOI2V4LZ5JU5AKKJZTDTJVYA}

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	2026-05-17T23:54:27.027881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e412e46abc5e7a9a740a527331cd35c0137495b5ddbe76f71125f8ac91762678

Aliases

arxiv: 1609.00583 · arxiv_version: 1609.00583v2 · doi: 10.48550/arxiv.1609.00583 · pith_short_12: 4QJOI2V4LZ5J · pith_short_16: 4QJOI2V4LZ5JU5AK · pith_short_8: 4QJOI2V4

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/4QJOI2V4LZ5JU5AKKJZTDTJVYA \
  | 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: e412e46abc5e7a9a740a527331cd35c0137495b5ddbe76f71125f8ac91762678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0444b53f79a1ba9905d3b7c0b274f2b30e351458176f44865f64d9e8ffe8e830",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-02T13:11:47Z",
    "title_canon_sha256": "ca22cd8bb8d02687e1f2fd950d3acd8812fba36ce663b3d4446a6a6061650f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00583",
    "kind": "arxiv",
    "version": 2
  }
}