Pith Number

pith:WB4TCQXI

pith:2026:WB4TCQXIF3P72O7Z655B7ODTER

not attested not anchored not stored refs pending

Revealing Sharp Spectral Features with Complex Frequency Excitations: Challenges and Opportunities

Andrea Alu, Jacob B Khurgin, Philippe Lalanne, Vitaly Kozlov

arxiv:2607.02211 v1 · 2026-07-02 · 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{WB4TCQXIF3P72O7Z655B7ODTER}

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	2026-07-03T01:17:45.219276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0793142e82edffd3bf9f77a1fb8732460278eebcbfca7303a1a2ecdb49226e5

Aliases

arxiv: 2607.02211 · arxiv_version: 2607.02211v1 · doi: 10.48550/arxiv.2607.02211 · pith_short_12: WB4TCQXIF3P7 · pith_short_16: WB4TCQXIF3P72O7Z · pith_short_8: WB4TCQXI

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/WB4TCQXIF3P72O7Z655B7ODTER \
  | 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: b0793142e82edffd3bf9f77a1fb8732460278eebcbfca7303a1a2ecdb49226e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c025a5bdaf875c62a3fd741b80df3c073ed7643cbf108d33c890c8b4644d7566",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-02T14:21:32Z",
    "title_canon_sha256": "c55143c8ec4a4efce828d71f419c5ff7ddcd3b39eefc62654de400884d18dbe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02211",
    "kind": "arxiv",
    "version": 1
  }
}