Pith Number

pith:CZ4MIX7A

pith:2015:CZ4MIX7AQWA7WXPXLHYY23A5KK

not attested not anchored not stored refs pending

Huygens-Fresnel wavefront tracing in non-uniform media

A. Zhao, F.A. Volpe, P.-D. Letourneau

arxiv:1509.02966 v2 · 2015-09-09 · physics.comp-ph · physics.geo-ph · physics.optics · physics.plasm-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{CZ4MIX7AQWA7WXPXLHYY23A5KK}

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	2026-05-18T01:12:34.864031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1678c45fe08581fb5df759f18d6c1d52b146b94873e0a8a96754298eb7c7442f

Aliases

arxiv: 1509.02966 · arxiv_version: 1509.02966v2 · doi: 10.48550/arxiv.1509.02966 · pith_short_12: CZ4MIX7AQWA7 · pith_short_16: CZ4MIX7AQWA7WXPX · pith_short_8: CZ4MIX7A

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/CZ4MIX7AQWA7WXPXLHYY23A5KK \
  | 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: 1678c45fe08581fb5df759f18d6c1d52b146b94873e0a8a96754298eb7c7442f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "506148953b06ced884829dfc8b06afe3a83f38427db730bcfdc9742eb2bcb24e",
    "cross_cats_sorted": [
      "physics.geo-ph",
      "physics.optics",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2015-09-09T22:07:45Z",
    "title_canon_sha256": "b80fcef66a775da4314c00b77ad4511d4d5055dbb3c2c3bc74e5898ae246b930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02966",
    "kind": "arxiv",
    "version": 2
  }
}