Pith Number

pith:ID3FVORA

pith:2018:ID3FVORA2GIPMSVG4BTVJGMYTI

not attested not anchored not stored refs pending

Weak Gravitational lensing by phantom black holes and phantom wormholes using the Gauss-Bonnet theorem

Ali \"Ovg\"un, Galin Gyulchev, Kimet Jusufi

arxiv:1806.03719 v2 · 2018-06-10 · gr-qc · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID3FVORA2GIPMSVG4BTVJGMYTI}

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

The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential

Receipt and verification

First computed	2026-05-17T23:47:30.964254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f65aba20d190f64aa6e0675499989a3116528af23650af7fae793b3e48fd52

Aliases

arxiv: 1806.03719 · arxiv_version: 1806.03719v2 · doi: 10.48550/arxiv.1806.03719 · pith_short_12: ID3FVORA2GIP · pith_short_16: ID3FVORA2GIPMSVG · pith_short_8: ID3FVORA

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/ID3FVORA2GIPMSVG4BTVJGMYTI \
  | 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: 40f65aba20d190f64aa6e0675499989a3116528af23650af7fae793b3e48fd52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e2438185c6072432464843732d31fb4c97cc55b10a4629cb028e4716147ac49",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-10T20:24:17Z",
    "title_canon_sha256": "b6942a0599754242ed740e600f49eecd9b2fd13cbe750c0be5cdf53c4033d7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03719",
    "kind": "arxiv",
    "version": 2
  }
}