Pith Number

pith:LUVZQDWA

pith:2023:LUVZQDWAZGJY6MSM75DERNXZ5S

not attested not anchored not stored refs pending

Wigner measures of electromagnetic waves in heterogeneous bianisotropic media

\'Eric Savin, Jean-Luc Akian

arxiv:2309.14223 v3 · 2023-09-25 · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUVZQDWAZGJY6MSM75DERNXZ5S}

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	2026-07-05T07:54:32.939398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d2b980ec0c9938f324cff4648b6f9ecb069cde07dd38c8c29de21c3fa696378

Aliases

arxiv: 2309.14223 · arxiv_version: 2309.14223v3 · doi: 10.48550/arxiv.2309.14223 · pith_short_12: LUVZQDWAZGJY · pith_short_16: LUVZQDWAZGJY6MSM · pith_short_8: LUVZQDWA

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/LUVZQDWAZGJY6MSM75DERNXZ5S \
  | 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: 5d2b980ec0c9938f324cff4648b6f9ecb069cde07dd38c8c29de21c3fa696378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fbc80602daf5ace784ba4dc17507c8e3484332358faf8bea3be9f6ddad063dd",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-09-25T15:28:29Z",
    "title_canon_sha256": "153483ebe91548c90c81364023605bb1d6e34ebd6b90658fccdfdaa14a7ef094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.14223",
    "kind": "arxiv",
    "version": 3
  }
}