Pith Number

pith:UFWO66ZR

pith:2025:UFWO66ZR4NSZZAWA34RLZFX4CA

not attested not anchored not stored refs pending

Wave propagation and scattering in time dependent media: Lippmann-Schwinger equations, multiple scattering theory, Kirchhoff Helmholtz integrals, Green's functions, reciprocity theorems and Huygens' principle

Cong Wang, Li Han, Ru-Shan Wu, Stewart Greenhalgh, Xingguo Huang

arxiv:2504.05704 v3 · 2025-04-08 · physics.optics · physics.comp-ph · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFWO66ZR4NSZZAWA34RLZFX4CA}

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	2026-06-08T01:03:43.986990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a16cef7b31e3659c82c0df22bc96fc103da3ccdd8caf8d6873ced8437a395f7c

Aliases

arxiv: 2504.05704 · arxiv_version: 2504.05704v3 · doi: 10.48550/arxiv.2504.05704 · pith_short_12: UFWO66ZR4NSZ · pith_short_16: UFWO66ZR4NSZZAWA · pith_short_8: UFWO66ZR

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/UFWO66ZR4NSZZAWA34RLZFX4CA \
  | 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: a16cef7b31e3659c82c0df22bc96fc103da3ccdd8caf8d6873ced8437a395f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39358ec32e3177dea6f19a1dd689044b54b97924bcf784cbf4898c8bd46f0b29",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "physics.geo-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-04-08T05:56:20Z",
    "title_canon_sha256": "6c8b8121c44f1d8978ffbc0eaa33f94d4f60273646eae227e3edaaf96d1f99dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05704",
    "kind": "arxiv",
    "version": 3
  }
}