Pith Number

pith:JXBYOEXK

pith:2026:JXBYOEXKF6SSA37AY3RUAQCEWM

not attested not anchored not stored refs pending

A Bernoulli phase-fitted finite difference method and wavenumber-explicit analysis for the one-dimensional Helmholtz equation

Ansgar J\"ungel, Panchi Li, Zhiwei Sun, Zhiwen Zhang

arxiv:2605.21144 v1 · 2026-05-20 · 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{JXBYOEXKF6SSA37AY3RUAQCEWM}

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	2026-05-21T01:05:39.769922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc38712ea2fa5206fe0c6e3404044b336d559a354740b26c58eef1f98b4b331

Aliases

arxiv: 2605.21144 · arxiv_version: 2605.21144v1 · doi: 10.48550/arxiv.2605.21144 · pith_short_12: JXBYOEXKF6SS · pith_short_16: JXBYOEXKF6SSA37A · pith_short_8: JXBYOEXK

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/JXBYOEXKF6SSA37AY3RUAQCEWM \
  | 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: 4dc38712ea2fa5206fe0c6e3404044b336d559a354740b26c58eef1f98b4b331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd41ceee6294d1fe6016949db4f31ca67fbf4a8659934dd1ef921979ab841a35",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-20T13:18:39Z",
    "title_canon_sha256": "36b702f61630f4993ce2f4cdcc9c3009740041b0d7ef163d430354ff31855c24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21144",
    "kind": "arxiv",
    "version": 1
  }
}