Pith Number

pith:UHKNQZR3

pith:2012:UHKNQZR3WWQTQC6ZFOTMBHWNRI

not attested not anchored not stored refs pending

Nondiffracting Accelerating Waves: Weber waves and parabolic momentum

B. M. Rodr\'iguez-Lara, Miguel A. Bandres

arxiv:1209.4680 v2 · 2012-09-20 · physics.optics · cond-mat.mes-hall · math-ph · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHKNQZR3WWQTQC6ZFOTMBHWNRI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:32:44.907984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1d4d8663bb5a1380bd92ba6c09ecd8a264ba928c797b453709803c40f44df91

Aliases

arxiv: 1209.4680 · arxiv_version: 1209.4680v2 · doi: 10.48550/arxiv.1209.4680 · pith_short_12: UHKNQZR3WWQT · pith_short_16: UHKNQZR3WWQTQC6Z · pith_short_8: UHKNQZR3

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/UHKNQZR3WWQTQC6ZFOTMBHWNRI \
  | 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: a1d4d8663bb5a1380bd92ba6c09ecd8a264ba928c797b453709803c40f44df91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd3d27f033a91b8ec1803d95ea002184b88814b1b6650d6b6292b8597e0ced3",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-09-20T22:42:49Z",
    "title_canon_sha256": "8ace2189fc54cebc6a8a28067ebe4c355bff15a3b7ac80c62838582cb6b8f776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4680",
    "kind": "arxiv",
    "version": 2
  }
}