Pith Number

pith:42N7G5KX

pith:2022:42N7G5KXZPMM5IOOETHH4RTPCG

not attested not anchored not stored refs pending

Kramers-Kronig relations and the analogy between electromagnetic and mechanical waves

F. Mainardi, J. Ba, J. Carcione, J. Chen

arxiv:2206.13241 v1 · 2022-06-22 · 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{42N7G5KXZPMM5IOOETHH4RTPCG}

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	2026-07-05T04:35:04.539035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69bf37557cbd8cea1ce24ce7e466f119b63e6d6927123174c3c7c0c4e3e61eb

Aliases

arxiv: 2206.13241 · arxiv_version: 2206.13241v1 · doi: 10.48550/arxiv.2206.13241 · pith_short_12: 42N7G5KXZPMM · pith_short_16: 42N7G5KXZPMM5IOO · pith_short_8: 42N7G5KX

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/42N7G5KXZPMM5IOOETHH4RTPCG \
  | 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: e69bf37557cbd8cea1ce24ce7e466f119b63e6d6927123174c3c7c0c4e3e61eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba80aee6cba8d03d5da1ad44dae520f1d404d49d49f6c09d14306693e8034f17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2022-06-22T09:25:25Z",
    "title_canon_sha256": "9eb855da8489c48a8251eb2c6b7af85d566bfedf274bd5dbb3a7d238af3f3325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.13241",
    "kind": "arxiv",
    "version": 1
  }
}