Pith Number

pith:VNVSZLDQ

pith:2013:VNVSZLDQN4D4ODZ3JPURRWHDA6

not attested not anchored not stored refs pending

Wave focusing using symmetry matching in axisymmetric acoustic gradient index lenses

A. Cebrecos, J.V. S\'anchez-P\'erez, L.M. Garcia-Raffi, R. Pic\'o, V.J. S\'anchez-Morcillo, V. Romero-Garc\'ia

arxiv:1309.4586 v3 · 2013-09-18 · cond-mat.mtrl-sci · 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{VNVSZLDQN4D4ODZ3JPURRWHDA6}

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	2026-05-18T01:47:35.990884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab6b2cac706f07c70f3b4be918d8e3079229faea965eb6b6d202e2d8fc0837ee

Aliases

arxiv: 1309.4586 · arxiv_version: 1309.4586v3 · doi: 10.48550/arxiv.1309.4586 · pith_short_12: VNVSZLDQN4D4 · pith_short_16: VNVSZLDQN4D4ODZ3 · pith_short_8: VNVSZLDQ

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/VNVSZLDQN4D4ODZ3JPURRWHDA6 \
  | 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: ab6b2cac706f07c70f3b4be918d8e3079229faea965eb6b6d202e2d8fc0837ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e47dab63aa5d671d7513cbcef10a6627f2cc8f2fe9f37bfc784648254c69473",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2013-09-18T09:12:43Z",
    "title_canon_sha256": "8ed4f1280108d26cf528c1dfb2f9043f3a24f3db16f970105e8471b84db8f9b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4586",
    "kind": "arxiv",
    "version": 3
  }
}