Pith Number

pith:NFYXM6UX

pith:2002:NFYXM6UX72PAFGKYYPBTBD5HQY

not attested not anchored not stored refs pending

On the knee in the energy spectrum of cosmic rays

J.R. Hoerandel

arxiv:astro-ph/0210453 v1 · 2002-10-20 · astro-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{NFYXM6UX72PAFGKYYPBTBD5HQY}

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.

Cited by

4 papers in Pith

SN 1006: A Cosmic Laboratory for Investigating Shock Acceleration Physics

Charge-dependent spectral softenings of primary cosmic-rays below the knee

On The Nonthermal Power Laws In Magnetized Turbulent Plasmas

Measurement of charged-particle production in $\sqrt{s_\text{NN}}=9.62$ TeV proton-oxygen collisions as a probe of cosmic-ray air showers with the ATLAS detector

Receipt and verification

First computed	2026-07-04T16:31:00.629766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6971767a97fe9e029958c3c3308fa7860dc63e10a6199a1c10db934cd20f35fe

Aliases

arxiv: astro-ph/0210453 · arxiv_version: astro-ph/0210453v1 · doi: 10.48550/arxiv.astro-ph/0210453 · pith_short_12: NFYXM6UX72PA · pith_short_16: NFYXM6UX72PAFGKY · pith_short_8: NFYXM6UX

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/NFYXM6UX72PAFGKYYPBTBD5HQY \
  | 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: 6971767a97fe9e029958c3c3308fa7860dc63e10a6199a1c10db934cd20f35fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b59810023e6be191ce43a189b11f969251e742676192e50b4db459857a3bd1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-10-20T12:39:19Z",
    "title_canon_sha256": "0042daf18820d9151f66052d33a7dd3b1c84b86c24a13f2055623600ae76959e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0210453",
    "kind": "arxiv",
    "version": 1
  }
}