Pith Number

pith:5VOJCQMG

pith:2016:5VOJCQMGEYSMJ3P2DWNQGGRUC2

not attested not anchored not stored refs pending

Electromagnetic wave propagation in metamaterials: a visual guide to Fresnel-Kummer surfaces and their singular points

Alberto Favaro

arxiv:1603.00063 v1 · 2016-02-26 · physics.optics · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VOJCQMGEYSMJ3P2DWNQGGRUC2}

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	2026-05-18T01:19:49.260822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5c9141862624c4edfa1d9b031a3416bffce19bb64b4a62576775e475dda78a

Aliases

arxiv: 1603.00063 · arxiv_version: 1603.00063v1 · doi: 10.48550/arxiv.1603.00063 · pith_short_12: 5VOJCQMGEYSM · pith_short_16: 5VOJCQMGEYSMJ3P2 · pith_short_8: 5VOJCQMG

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/5VOJCQMGEYSMJ3P2DWNQGGRUC2 \
  | 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: ed5c9141862624c4edfa1d9b031a3416bffce19bb64b4a62576775e475dda78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6202f69f74bd317ec4a11eb770a0f8d6ae257df3a61095b81c83db81a78b779c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-26T16:17:57Z",
    "title_canon_sha256": "7fe82a22acbfa4df2b8f22a34a28103f0ce92c26149f98e650c68c2f62806b3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00063",
    "kind": "arxiv",
    "version": 1
  }
}