Pith Number

pith:2SPLZMSN

pith:2013:2SPLZMSNAUQDDXWGKUMF47Q3WJ

not attested not anchored not stored refs pending

Effects of plasma on gravitational lensing

Shude Mao, XinZhong Er

arxiv:1310.5825 v2 · 2013-10-22 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SPLZMSNAUQDDXWGKUMF47Q3WJ}

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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

5 papers in Pith

Low-frequency VLBI with the SKA-Low

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	2026-05-18T01:46:56.466783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49ebcb24d052031dec655185e7e1bb2542b2911cbc8744ec0f63ceda9de6c33

Aliases

arxiv: 1310.5825 · arxiv_version: 1310.5825v2 · doi: 10.48550/arxiv.1310.5825 · pith_short_12: 2SPLZMSNAUQD · pith_short_16: 2SPLZMSNAUQDDXWG · pith_short_8: 2SPLZMSN

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/2SPLZMSNAUQDDXWGKUMF47Q3WJ \
  | 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: d49ebcb24d052031dec655185e7e1bb2542b2911cbc8744ec0f63ceda9de6c33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1d872e35882f3544ec32c3589c571df4139378a2275e8802f3dcc17642c268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-10-22T07:45:25Z",
    "title_canon_sha256": "4330b79c3ae50b2bc1477eab74321f7639461f9b0404f2ff2cdd76bdaaeed0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5825",
    "kind": "arxiv",
    "version": 2
  }
}