Pith Number

pith:UBAN3RNB

pith:2011:UBAN3RNBR6IJI7YJXWDHNLV7AV

not attested not anchored not stored refs pending

Transformation Ray Method: Controlling High Frequency Elastic Waves

Gengkai Hu, Jin Hu, Xiaoning Liu, Zheng Chang

arxiv:1110.5521 v1 · 2011-10-24 · physics.class-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{UBAN3RNBR6IJI7YJXWDHNLV7AV}

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	2026-05-18T02:00:04.069471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a040ddc5a18f90947f09bd8676aebf056d1e14b348bab78afe7b767a1e8a2242

Aliases

arxiv: 1110.5521 · arxiv_version: 1110.5521v1 · doi: 10.48550/arxiv.1110.5521 · pith_short_12: UBAN3RNBR6IJ · pith_short_16: UBAN3RNBR6IJI7YJ · pith_short_8: UBAN3RNB

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/UBAN3RNBR6IJI7YJXWDHNLV7AV \
  | 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: a040ddc5a18f90947f09bd8676aebf056d1e14b348bab78afe7b767a1e8a2242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f65655f88fc1fd3d13c3095416a14d142a35d3ce81a53410bd1a5cfb10a6fab",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2011-10-24T02:21:16Z",
    "title_canon_sha256": "a188710e96b05ae9fb03450c0f8c14954e29f32dd8ab4c5e19c6a56420104470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5521",
    "kind": "arxiv",
    "version": 1
  }
}