Pith Number

pith:WVP7EW53

pith:2000:WVP7EW53BGCKDCBZYB52X5SNXD

not attested not anchored not stored refs pending

Possible galactic sources of ultrahigh-energy cosmic rays and a strategy for their detection via gravitational lensing

Alexander Kusenko, Vadim A. Kuzmin

arxiv:astro-ph/0012040 v2 · 2000-12-04 · astro-ph · hep-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{WVP7EW53BGCKDCBZYB52X5SNXD}

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	2026-05-18T02:40:36.583955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b55ff25bbb0984a18839c07babf64db8ed0e5dbb2e51190b8d9a0c16284412ac

Aliases

arxiv: astro-ph/0012040 · arxiv_version: astro-ph/0012040v2 · doi: 10.48550/arxiv.astro-ph/0012040 · pith_short_12: WVP7EW53BGCK · pith_short_16: WVP7EW53BGCKDCBZ · pith_short_8: WVP7EW53

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/WVP7EW53BGCKDCBZYB52X5SNXD \
  | 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: b55ff25bbb0984a18839c07babf64db8ed0e5dbb2e51190b8d9a0c16284412ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138041c6e3bf9ebc10f92650f8b24c082cffb5390a7a808ee0b87e7777504cf2",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-12-04T23:50:20Z",
    "title_canon_sha256": "024fc8618e40ddaae056b923e2e8875b052d3eba4acf9427cd57e623c1b1ec93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0012040",
    "kind": "arxiv",
    "version": 2
  }
}