pith. sign in
Pith Number

pith:GVHEY35I

pith:1999:GVHEY35IJINL5JMQ77D2NPWYIC
not attested not anchored not stored refs pending

Fermion stars as gravitational lenses

Croatia), Hrvoje Nikolic (Rudjer Boskovic Institute, Neven Bilic, Raoul D. Viollier (University of Cape Town, Rondebosch, South Africa), Zagreb

arxiv:astro-ph/9912381 v2 · 1999-12-17 · astro-ph · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GVHEY35IJINL5JMQ77D2NPWYIC}

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 2026-05-18T02:40:27.410360Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

354e4c6fa84a1abea590ffc7a6bed840ab99216649113c4fc81ebc0921693b65

Aliases

arxiv: astro-ph/9912381 · arxiv_version: astro-ph/9912381v2 · doi: 10.48550/arxiv.astro-ph/9912381 · pith_short_12: GVHEY35IJINL · pith_short_16: GVHEY35IJINL5JMQ · pith_short_8: GVHEY35I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GVHEY35IJINL5JMQ77D2NPWYIC \
  | 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: 354e4c6fa84a1abea590ffc7a6bed840ab99216649113c4fc81ebc0921693b65
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cb4583dd4f466d881f8d9b4369c393914ffe42c185ad4d9123a16e399d50319c",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-12-17T16:31:45Z",
    "title_canon_sha256": "595962475c5759e5f4ba81ef5047d2c2cf544d4f0e902b108b59c7a685147411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9912381",
    "kind": "arxiv",
    "version": 2
  }
}