pith. sign in
Pith Number

pith:NABLDI7X

pith:2019:NABLDI7XR7PVOQ2FMYPFRE7AVD
not attested not anchored not stored refs pending

Active Willis metamaterials for ultra-compact non-reciprocal linear acoustic devices

Bogdan-Ioan Popa, Hyung-Suk Kwon, Yuxin Zhai

arxiv:1901.02979 v2 · 2019-01-10 · physics.app-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NABLDI7XR7PVOQ2FMYPFRE7AVD}

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 2026-05-17T23:43:37.366463Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6802b1a3f78fdf574345661e5893e0a8ce4edd8bb34d747ace4f811d11cd2ca4

Aliases

arxiv: 1901.02979 · arxiv_version: 1901.02979v2 · doi: 10.48550/arxiv.1901.02979 · pith_short_12: NABLDI7XR7PV · pith_short_16: NABLDI7XR7PVOQ2F · pith_short_8: NABLDI7X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NABLDI7XR7PVOQ2FMYPFRE7AVD \
  | 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: 6802b1a3f78fdf574345661e5893e0a8ce4edd8bb34d747ace4f811d11cd2ca4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b0125332098d01dcaab1b29af8f7f29598d262624aebcff9aa51b1b601c27d48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2019-01-10T00:22:15Z",
    "title_canon_sha256": "5e37aeca68d00eb391dc3d979fd438b2c93857d790de2127e10c12591a0ba67c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02979",
    "kind": "arxiv",
    "version": 2
  }
}