Pith Number

pith:Q5URMEPD

pith:2006:Q5URMEPDOCHQ3KFVYSE3RPIQLV

not attested not anchored not stored refs pending

Cosmic rays from the knee to the second knee: 10^14 to 10^18 eV

Joerg R. Hoerandel

arxiv:astro-ph/0611387 v1 · 2006-11-13 · 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{Q5URMEPDOCHQ3KFVYSE3RPIQLV}

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	2026-05-18T01:07:25.151160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87691611e3708f0da8b5c489b8bd105d45aba553a280746978fc5ecf3f466b34

Aliases

arxiv: astro-ph/0611387 · arxiv_version: astro-ph/0611387v1 · doi: 10.48550/arxiv.astro-ph/0611387 · pith_short_12: Q5URMEPDOCHQ · pith_short_16: Q5URMEPDOCHQ3KFV · pith_short_8: Q5URMEPD

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/Q5URMEPDOCHQ3KFVYSE3RPIQLV \
  | 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: 87691611e3708f0da8b5c489b8bd105d45aba553a280746978fc5ecf3f466b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6804be7419886dd808ab3e69cfc9dadb8aebbf56ed0b298da351aea5209f7ec9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-11-13T14:29:09Z",
    "title_canon_sha256": "6ffedd8a0305555a5e09efb39ada4a0ceec2a348721210a8ffd949acc5b57a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0611387",
    "kind": "arxiv",
    "version": 1
  }
}