Pith Number

pith:U5U5MWVD

pith:2025:U5U5MWVDXD45MNNAL2XJBNPRRH

not attested not anchored not stored refs pending

Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis

Euan A. Spence, Jeffrey Galkowski

arxiv:2511.15287 v2 · 2025-11-19 · math.NA · cs.NA · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5U5MWVDXD45MNNAL2XJBNPRRH}

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.

Cited by

1 paper in Pith

Spectral Filtering of 3D Integral Operators Using Modified Green's Functions

Receipt and verification

First computed	2026-06-24T14:15:53.072603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a769d65aa3b8f9d635a05eae90b5f189cb4332732a823133712b197b18bb7192

Aliases

arxiv: 2511.15287 · arxiv_version: 2511.15287v2 · doi: 10.48550/arxiv.2511.15287 · pith_short_12: U5U5MWVDXD45 · pith_short_16: U5U5MWVDXD45MNNA · pith_short_8: U5U5MWVD

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/U5U5MWVDXD45MNNAL2XJBNPRRH \
  | 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: a769d65aa3b8f9d635a05eae90b5f189cb4332732a823133712b197b18bb7192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57f23f6def7c00030663407ff1b489c3a570d2f98706b7ba699afc17d3c4665",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-11-19T09:52:46Z",
    "title_canon_sha256": "ca4df2837570157c0e75c45682bed81f87b7f0175f9031a8ddbd8a16c1ccf8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.15287",
    "kind": "arxiv",
    "version": 2
  }
}