Pith Number

pith:Y27ZQGHM

pith:2002:Y27ZQGHMG4VJXCZ2EQW2KPJQLH

not attested not anchored not stored refs pending

Superluminal Localized Solutions to the wave equation, in (vacuum or) dispersive media, for arbitrary frequencies and with adjustable bandwidth

Erasmo Recami, H. E. Hernandez-Figueroa, K. Z. Nobrega, M. Zamboni-Rached

arxiv:physics/0209101 v1 · 2002-09-29 · physics.class-ph · physics.gen-ph · 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{Y27ZQGHMG4VJXCZ2EQW2KPJQLH}

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	2026-05-18T01:38:09.163666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6bf9818ec372a9b8b3a242da53d3059fa54f5beca99ef6e205ebc3f78a32a31

Aliases

arxiv: physics/0209101 · arxiv_version: physics/0209101v1 · doi: 10.48550/arxiv.physics/0209101 · pith_short_12: Y27ZQGHMG4VJ · pith_short_16: Y27ZQGHMG4VJXCZ2 · pith_short_8: Y27ZQGHM

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/Y27ZQGHMG4VJXCZ2EQW2KPJQLH \
  | 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: c6bf9818ec372a9b8b3a242da53d3059fa54f5beca99ef6e205ebc3f78a32a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4135a3bd4a5a0e52bbf8047415b9c7bd89458dc66d46cde3d61f9948ef77f2",
    "cross_cats_sorted": [
      "physics.gen-ph",
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2002-09-29T01:48:57Z",
    "title_canon_sha256": "4804f436f1b31539074e41e8938c8356f9491d4db01720ee913816fd9fba48b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0209101",
    "kind": "arxiv",
    "version": 1
  }
}