Pith Number

pith:LX4IXP23

pith:2015:LX4IXP234AHKKYHDTID6EIFXP5

not attested not anchored not stored refs pending

Gradient Index Devices for the Simultaneous Focusing of the S0 and A0 Lamb Modes

Bahram Djafari-Rouhani, Daniel Torrent, Yabin Jin, Yan Pennec, Yongdong Pan

arxiv:1502.05423 v1 · 2015-02-18 · 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{LX4IXP234AHKKYHDTID6EIFXP5}

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	2026-05-18T02:26:46.564635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df88bbf5be00ea560e39a07e220b77f4774546e8e73210cd67bdd9b033267f4

Aliases

arxiv: 1502.05423 · arxiv_version: 1502.05423v1 · doi: 10.48550/arxiv.1502.05423 · pith_short_12: LX4IXP234AHK · pith_short_16: LX4IXP234AHKKYHD · pith_short_8: LX4IXP23

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/LX4IXP234AHKKYHDTID6EIFXP5 \
  | 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: 5df88bbf5be00ea560e39a07e220b77f4774546e8e73210cd67bdd9b033267f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f257272843e393f0cb305399613053952a5474c6968942e1f3edc49159ec25",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2015-02-18T21:34:06Z",
    "title_canon_sha256": "729138338970dc6c07c7210220480ef20ba8b75433c5cd40f59c06ce98b835dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05423",
    "kind": "arxiv",
    "version": 1
  }
}