Pith Number

pith:7XNVLUHX

pith:2024:7XNVLUHXSPIUYIHQGGUT4UNGLF

not attested not anchored not stored refs pending

Kramers-Kronig relations via Laplace formalism and $L^1$ integrability

Alessio Perinelli, Leonardo Ricci, Marco Prevedelli

arxiv:2407.21694 v1 · 2024-07-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XNVLUHXSPIUYIHQGGUT4UNGLF}

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	2026-07-05T08:50:42.525853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fddb55d0f793d14c20f031a93e51a65945816fa494e66798a472015816beeaa0

Aliases

arxiv: 2407.21694 · arxiv_version: 2407.21694v1 · doi: 10.48550/arxiv.2407.21694 · pith_short_12: 7XNVLUHXSPIU · pith_short_16: 7XNVLUHXSPIUYIHQ · pith_short_8: 7XNVLUHX

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/7XNVLUHXSPIUYIHQGGUT4UNGLF \
  | 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: fddb55d0f793d14c20f031a93e51a65945816fa494e66798a472015816beeaa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a6f9bd80da720757ca4b4aea91ad28bad4eec08d33aa9eb284b29fa78ad627",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-07-31T15:39:12Z",
    "title_canon_sha256": "defa6a3f15deb7bcf44424a8a3d50a78aa567d89cd93ae40c25e6e9fd77848d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21694",
    "kind": "arxiv",
    "version": 1
  }
}