Pith Number

pith:MU7WJUB6

pith:2025:MU7WJUB6PG4VQFJASMNJBFKAQV

not attested not anchored not stored refs pending

Revisiting the Longitudinal Development of Electromagnetic Air Showers: Analytical Improvements to the Greisen Formalism with Zenith Angle Dependence

Barbara Guti\'errez, Constanza Valdivieso, Nicol\'as Viaux M., Raquel Pezoa R., Sebasti\'an Mendizabal, Sebasti\'an Tapia

arxiv:2504.09359 v1 · 2025-04-12 · astro-ph.HE · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MU7WJUB6PG4VQFJASMNJBFKAQV}

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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.

Cited by

1 paper in Pith

SMIET: Fast and accurate synthesis of radio pulses from extensive air shower using simulated templates

Receipt and verification

First computed	2026-07-05T10:50:48.716602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653f64d03e79b9581520931a909540855878db2bed56b0a6b2a4492dc9a07ac2

Aliases

arxiv: 2504.09359 · arxiv_version: 2504.09359v1 · doi: 10.48550/arxiv.2504.09359 · pith_short_12: MU7WJUB6PG4V · pith_short_16: MU7WJUB6PG4VQFJA · pith_short_8: MU7WJUB6

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/MU7WJUB6PG4VQFJASMNJBFKAQV \
  | 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: 653f64d03e79b9581520931a909540855878db2bed56b0a6b2a4492dc9a07ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1dbe3366e58cc9e1d0eda78e0f3df863ffef05835b1e201802fc2d34f56a00",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2025-04-12T22:38:46Z",
    "title_canon_sha256": "face79bc6392d32610002bfcb8a90a280f070ead2ee6b8b722cc6aac3c184ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09359",
    "kind": "arxiv",
    "version": 1
  }
}