Pith Number

pith:RWZCE6YF

pith:2025:RWZCE6YFGA47FW6UY7E4VJFTQB

not attested not anchored not stored refs pending

Resonant frequencies distribution for multiple closely spaced subwavelength resonators

Haigang Li, Junhua Zhang

arxiv:2506.08522 v1 · 2025-06-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWZCE6YFGA47FW6UY7E4VJFTQB}

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	2026-07-05T11:18:51.095383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db2227b053039f2dbd4c7c9caa4b38045890d261a0ac7220a2e0ef5766c1bfe

Aliases

arxiv: 2506.08522 · arxiv_version: 2506.08522v1 · doi: 10.48550/arxiv.2506.08522 · pith_short_12: RWZCE6YFGA47 · pith_short_16: RWZCE6YFGA47FW6U · pith_short_8: RWZCE6YF

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/RWZCE6YFGA47FW6UY7E4VJFTQB \
  | 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: 8db2227b053039f2dbd4c7c9caa4b38045890d261a0ac7220a2e0ef5766c1bfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657984570d9523ece8152e49128aec6e4770d85a506b086e97b3eaef0d7046d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-10T07:38:57Z",
    "title_canon_sha256": "76f430285c721ebfe8ff594069242fe73d3d7094663f059fe3e07e749fa9095d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08522",
    "kind": "arxiv",
    "version": 1
  }
}