Pith Number

pith:NIZ4FVSB

pith:1997:NIZ4FVSB6DOAIQ3WGIXSSGAWVV

not attested not anchored not stored refs pending

On Localized "X-shaped" Superluminal Solutions to Maxwell Equations

Erasmo Recami

arxiv:physics/9712051 v2 · 1997-12-29 · 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{NIZ4FVSB6DOAIQ3WGIXSSGAWVV}

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	2026-05-18T01:38:04.454032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a33c2d641f0dc044376322f291816ad7573a9426b762b5732225d0c5b3996a6

Aliases

arxiv: physics/9712051 · arxiv_version: physics/9712051v2 · doi: 10.48550/arxiv.physics/9712051 · pith_short_12: NIZ4FVSB6DOA · pith_short_16: NIZ4FVSB6DOAIQ3W · pith_short_8: NIZ4FVSB

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/NIZ4FVSB6DOAIQ3WGIXSSGAWVV \
  | 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: 6a33c2d641f0dc044376322f291816ad7573a9426b762b5732225d0c5b3996a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0d2fa816b8194a7eb549b13ffce9cb0b264c270ba479663b65e4ba6bd28a0c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "1997-12-29T17:42:56Z",
    "title_canon_sha256": "66f5623ecde0e68ef8852962e1ac526e312ecda0f04b8a88ccc878a861d1bd3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9712051",
    "kind": "arxiv",
    "version": 2
  }
}