Pith Number

pith:5ZCOW4BP

pith:2026:5ZCOW4BPT7IB6KZ43HJWUKCHPG

not attested not anchored not stored refs pending

Direct Dispersion-Curve Engineering of Phononic Crystal Defect Modes for Prescribed Frequencies via Topology Optimization

Junji Kato, Xinlin Xu

arxiv:2605.26435 v1 · 2026-05-26 · cond-mat.mtrl-sci · cs.NA · math.NA · physics.comp-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{5ZCOW4BPT7IB6KZ43HJWUKCHPG}

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	2026-05-27T01:05:17.867990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee44eb702f9fd01f2b3cd9d36a284779b4b93a0d5703cdd7f6124e8a83a1457a

Aliases

arxiv: 2605.26435 · arxiv_version: 2605.26435v1 · doi: 10.48550/arxiv.2605.26435 · pith_short_12: 5ZCOW4BPT7IB · pith_short_16: 5ZCOW4BPT7IB6KZ4 · pith_short_8: 5ZCOW4BP

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/5ZCOW4BPT7IB6KZ43HJWUKCHPG \
  | 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: ee44eb702f9fd01f2b3cd9d36a284779b4b93a0d5703cdd7f6124e8a83a1457a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c73b0aaf37eafa0c8ecc0ad98d704be6481aa3aeb51c1f4772ce064477e228d2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-05-26T01:45:26Z",
    "title_canon_sha256": "ab33f5fd2f93650054d6edbe649fa3b6b863e6fda313bd00c34fe55d04d0ef59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26435",
    "kind": "arxiv",
    "version": 1
  }
}