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Pith Number

pith:UG5FVO5T

pith:2017:UG5FVO5TMYFAYQNBAOPU55HKMZ
not attested not anchored not stored refs pending

Gravitational lensing by exotic objects

Hideki Asada

arxiv:1711.01730 v1 · 2017-11-06 · gr-qc · astro-ph.HE · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UG5FVO5TMYFAYQNBAOPU55HKMZ}

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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 2026-05-18T00:31:17.026657Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a1ba5abbb3660a0c41a1039f4ef4ea666a4297c6b96c4b551b32e854ffae3e17

Aliases

arxiv: 1711.01730 · arxiv_version: 1711.01730v1 · doi: 10.48550/arxiv.1711.01730 · pith_short_12: UG5FVO5TMYFA · pith_short_16: UG5FVO5TMYFAYQNB · pith_short_8: UG5FVO5T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UG5FVO5TMYFAYQNBAOPU55HKMZ \
  | 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: a1ba5abbb3660a0c41a1039f4ef4ea666a4297c6b96c4b551b32e854ffae3e17
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "91d00e96d4bcae10be516a31bdcfc042afc7e3e2744ea2d486753d75d44fbdd7",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-11-06T05:09:03Z",
    "title_canon_sha256": "095d21953a5def6fd4eef6f6710c661e696a51b2f60dc630e025fbbc75e18725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01730",
    "kind": "arxiv",
    "version": 1
  }
}