Pith Number

pith:EQCVRATX

pith:2013:EQCVRATXG34M7HAIRBYNLYALDR

not attested not anchored not stored refs pending

Gravitational lensing in plasma: Relativistic images at homogeneous plasma

Gennady S. Bisnovatyi-Kogan, Oleg Yu. Tsupko

arxiv:1305.7032 v1 · 2013-05-30 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQCVRATXG34M7HAIRBYNLYALDR}

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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

4 papers in Pith

Investigating the interplay of the braneworld gravity and the plasma environment on the black hole shadow

Hadronic lensing

A note on methods for computing the critical curve of Kerr-like black holes

Hadronic lensing

Receipt and verification

First computed	2026-05-18T01:49:39.900409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

240558827736f8cf9c088870d5e00b1c7d0fcba502f118b15992d80764396fc8

Aliases

arxiv: 1305.7032 · arxiv_version: 1305.7032v1 · doi: 10.48550/arxiv.1305.7032 · pith_short_12: EQCVRATXG34M · pith_short_16: EQCVRATXG34M7HAI · pith_short_8: EQCVRATX

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/EQCVRATXG34M7HAIRBYNLYALDR \
  | 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: 240558827736f8cf9c088870d5e00b1c7d0fcba502f118b15992d80764396fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815519de389958919d8ded228626df9c379742068346a10ee3d9d34c27ac0fc8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-05-30T08:32:37Z",
    "title_canon_sha256": "892bc74c480be5af615bb769febe45957f24bd7e092a1a9ed5f046569aa44f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7032",
    "kind": "arxiv",
    "version": 1
  }
}