pith. sign in
Pith Number

pith:FMJVMDEG

pith:2009:FMJVMDEGYG7EVFC7X6T7WQ22AQ
not attested not anchored not stored refs pending

A uni-directional optical pulse propagation equation for materials with both electric and magnetic responses

Paul Kinsler

arxiv:0909.3407 v3 · 2009-09-18 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FMJVMDEGYG7EVFC7X6T7WQ22AQ}

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 2026-05-18T02:46:04.868338Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2b13560c86c1be4a945fbfa7fb435a043e49597461b82b1d3ff972420030e8a6

Aliases

arxiv: 0909.3407 · arxiv_version: 0909.3407v3 · doi: 10.48550/arxiv.0909.3407 · pith_short_12: FMJVMDEGYG7E · pith_short_16: FMJVMDEGYG7EVFC7 · pith_short_8: FMJVMDEG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FMJVMDEGYG7EVFC7X6T7WQ22AQ \
  | 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: 2b13560c86c1be4a945fbfa7fb435a043e49597461b82b1d3ff972420030e8a6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4fe220223ffe9a268c6d4856111f751c918e33fc801a44a5ddc11747387e9c10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-09-18T10:52:12Z",
    "title_canon_sha256": "09774d9cdaae539ee5547847e7362cc01eab0e1a0999fb461f0590423c87db0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3407",
    "kind": "arxiv",
    "version": 3
  }
}