pith. sign in
Pith Number

pith:2OJQK3PB

pith:1997:2OJQK3PBFZFLB3ENVQU5MYZAYN
not attested not anchored not stored refs pending

Ultra-high energy cosmic rays without GZK cutoff

A.Vilenkin, M. Kachelriess, V. Berezinsky

arxiv:astro-ph/9708217 v1 · 1997-08-23 · astro-ph · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2OJQK3PBFZFLB3ENVQU5MYZAYN}

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

1 paper in Pith

Receipt and verification
First computed 2026-05-18T04:34:29.106720Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d393056de12e4ab0ec8dac29d66320c373f2bc16d2c8c002f7613a9823288b84

Aliases

arxiv: astro-ph/9708217 · arxiv_version: astro-ph/9708217v1 · doi: 10.48550/arxiv.astro-ph/9708217 · pith_short_12: 2OJQK3PBFZFL · pith_short_16: 2OJQK3PBFZFLB3EN · pith_short_8: 2OJQK3PB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2OJQK3PBFZFLB3ENVQU5MYZAYN \
  | 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: d393056de12e4ab0ec8dac29d66320c373f2bc16d2c8c002f7613a9823288b84
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "addc32ab34ad6117e5357d081c14d61ce64c57f7beae37b807e380ed40d728c5",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-08-23T14:19:06Z",
    "title_canon_sha256": "b7ea1fa3019f9f9b579b60a26750ba1fd04318e5a189124948f77857f38aa0c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9708217",
    "kind": "arxiv",
    "version": 1
  }
}