Pith Number

pith:A3PM3QLI

pith:2004:A3PM3QLINXYQMEF6SAW3L554UB

not attested not anchored not stored refs pending

Models of the Knee in the Energy Spectrum of Cosmic Rays

Joerg R. Hoerandel

arxiv:astro-ph/0402356 v2 · 2004-02-15 · 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{A3PM3QLINXYQMEF6SAW3L554UB}

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	2026-05-18T01:40:37.332095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06decdc1686df10610be902db5f7bca05203b37d62038b8709b1746cdd8906ec

Aliases

arxiv: astro-ph/0402356 · arxiv_version: astro-ph/0402356v2 · doi: 10.48550/arxiv.astro-ph/0402356 · pith_short_12: A3PM3QLINXYQ · pith_short_16: A3PM3QLINXYQMEF6 · pith_short_8: A3PM3QLI

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/A3PM3QLINXYQMEF6SAW3L554UB \
  | 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: 06decdc1686df10610be902db5f7bca05203b37d62038b8709b1746cdd8906ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a0af780df596907da0a80a9c245cdbcf3863c30177fafa6932a4be3695b9c4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-02-15T15:27:50Z",
    "title_canon_sha256": "a2a685ad096eeb1bd02f2c410a91d511a5f03aaf6945d52d538a9f377f18b59e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0402356",
    "kind": "arxiv",
    "version": 2
  }
}