pith. sign in
Pith Number

pith:2LZZ6MHD

pith:2015:2LZZ6MHDX2OOFEMQGACNSJFYR2
not attested not anchored not stored refs pending

Origin of the ankle in the ultra-high energy cosmic ray spectrum and of the extragalactic protons below it

Glennys R. Farrar, Luis A. Anchordoqui, Michael Unger

arxiv:1512.00484 v1 · 2015-12-01 · astro-ph.HE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2LZZ6MHDX2OOFEMQGACNSJFYR2}

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 2026-05-18T01:25:25.805153Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d2f39f30e3be9ce291903004d924b88e9105e7ad68b6e9ba8faa81a502f21b61

Aliases

arxiv: 1512.00484 · arxiv_version: 1512.00484v1 · doi: 10.48550/arxiv.1512.00484 · pith_short_12: 2LZZ6MHDX2OO · pith_short_16: 2LZZ6MHDX2OOFEMQ · pith_short_8: 2LZZ6MHD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2LZZ6MHDX2OOFEMQGACNSJFYR2 \
  | 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: d2f39f30e3be9ce291903004d924b88e9105e7ad68b6e9ba8faa81a502f21b61
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6130c62079b85b50416d9130eae0255776f6297425ff8b8cb1df387aeb4a96aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2015-12-01T21:17:30Z",
    "title_canon_sha256": "fb85ee2187df998ffc04c9f0d6192d27f72ab1c06412433790b96ed2f1f6d703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00484",
    "kind": "arxiv",
    "version": 1
  }
}