Pith Number

pith:DDWYWNXA

pith:2016:DDWYWNXAEBV77FSPUI5ITUAGX5

not attested not anchored not stored refs pending

Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices

Kai Xu, Katia Bertoldi, Matheus C. Fernandes, Pai Wang, Sijie Sun, Sung Hoon Kang, Vincent Tournat, Yue Zheng, Yushen Sun

arxiv:1612.09174 v1 · 2016-12-29 · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDWYWNXAEBV77FSPUI5ITUAGX5}

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	2026-05-18T00:49:50.772389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ed8b36e0206bff964fa23a89d006bf4f30193a019b047ba5ae932257864567

Aliases

arxiv: 1612.09174 · arxiv_version: 1612.09174v1 · doi: 10.48550/arxiv.1612.09174 · pith_short_12: DDWYWNXAEBV7 · pith_short_16: DDWYWNXAEBV77FSP · pith_short_8: DDWYWNXA

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/DDWYWNXAEBV77FSPUI5ITUAGX5 \
  | 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: 18ed8b36e0206bff964fa23a89d006bf4f30193a019b047ba5ae932257864567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3def26de968d69a48a801d4eff8d396de7ff232832286a989271fce2217dc999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-12-29T15:41:30Z",
    "title_canon_sha256": "d1efb8a8d3924adde1d200ecd64cfb6259f539f4eb33452620770dc6a1b14e02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09174",
    "kind": "arxiv",
    "version": 1
  }
}