Pith Number

pith:Z5JMJ6GG

pith:2014:Z5JMJ6GGTAORRNFV6KXKMYGGHV

not attested not anchored not stored refs pending

Focusing and directional beaming effects of airborne sound through a planar lens with zigzag slits

Chunyin Qiu, Jiuyang Lu, Kun Tang, Manzhu Ke, Zhengyou Liu

arxiv:1409.2685 v1 · 2014-09-08 · 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{Z5JMJ6GGTAORRNFV6KXKMYGGHV}

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	2026-05-18T01:42:06.121854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf52c4f8c6981d18b4b5f2aea660c63d65300275f3cc91fe4019bf57b70456e2

Aliases

arxiv: 1409.2685 · arxiv_version: 1409.2685v1 · doi: 10.48550/arxiv.1409.2685 · pith_short_12: Z5JMJ6GGTAOR · pith_short_16: Z5JMJ6GGTAORRNFV · pith_short_8: Z5JMJ6GG

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/Z5JMJ6GGTAORRNFV6KXKMYGGHV \
  | 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: cf52c4f8c6981d18b4b5f2aea660c63d65300275f3cc91fe4019bf57b70456e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e25385056bd6e0d0b12f087113b3c3c1d42753ded19c26b04fd85a5430eb890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-09-08T07:38:09Z",
    "title_canon_sha256": "97be19ca22ee608815c511b5fea6029f18e3fdd24b8d149c97a93e15bac0d792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2685",
    "kind": "arxiv",
    "version": 1
  }
}