Pith Number

pith:WKQ435EV

pith:2022:WKQ435EVVUE5PE767SR4KIBGGG

not attested not anchored not stored refs pending

Distortions of images of Schwarzschild lensing

K. S. Virbhadra

arxiv:2204.01879 v2 · 2022-04-04 · gr-qc · astro-ph.CO · astro-ph.GA · astro-ph.HE · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKQ435EVVUE5PE767SR4KIBGGG}

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

5 papers in Pith

Regular black hole solutions and the quark chemical potential at the QCD phase transition

Unveiling horizons in quantum critical collapse

Boundary-only weak deflection angles from isothermal optical geometry

Emergent Hawking Radiation and Quantum Sensing in a Quenched Chiral Spin Chain

Receipt and verification

First computed	2026-07-05T05:00:00.223835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a1cdf495ad09d793fefca3c5202631884a221f8eac3fa1792146b94640e661

Aliases

arxiv: 2204.01879 · arxiv_version: 2204.01879v2 · doi: 10.48550/arxiv.2204.01879 · pith_short_12: WKQ435EVVUE5 · pith_short_16: WKQ435EVVUE5PE76 · pith_short_8: WKQ435EV

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/WKQ435EVVUE5PE767SR4KIBGGG \
  | 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: b2a1cdf495ad09d793fefca3c5202631884a221f8eac3fa1792146b94640e661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5bb21975cdc7650d3732b9cf510e42c550ebfd83ee7078767ed889f1cd9ede2",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA",
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-04-04T22:54:42Z",
    "title_canon_sha256": "2cea4de35177d0a242c862ecb1835cb88390664cb16dc7403b361ebb99dea81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01879",
    "kind": "arxiv",
    "version": 2
  }
}