Pith Number

pith:DKGNMHSO

pith:2024:DKGNMHSO3W3N2PN7HCT2MN7OCJ

not attested not anchored not stored refs pending

Analyzing the Influence of Geometrical Deformation on Photon Sphere and Shadow Radius: A New Analytical Approach -- Spherically Symmetric Spacetimes

Ali \"Ovg\"un, Vitalii Vertogradov

arxiv:2404.04046 v3 · 2024-04-05 · 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{DKGNMHSO3W3N2PN7HCT2MN7OCJ}

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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

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

Receipt and verification

First computed	2026-07-05T08:25:53.432607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8cd61e4eddb6dd3dbf38a7a637ee1261219fcb3d298fde228e3183d0d7290b

Aliases

arxiv: 2404.04046 · arxiv_version: 2404.04046v3 · doi: 10.48550/arxiv.2404.04046 · pith_short_12: DKGNMHSO3W3N · pith_short_16: DKGNMHSO3W3N2PN7 · pith_short_8: DKGNMHSO

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/DKGNMHSO3W3N2PN7HCT2MN7OCJ \
  | 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: 1a8cd61e4eddb6dd3dbf38a7a637ee1261219fcb3d298fde228e3183d0d7290b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed647a54b0293f6f7ad65df05f5c08719e7ca8f3073b2ef8da7d7af7d529c94",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-04-05T11:59:47Z",
    "title_canon_sha256": "97c645054dfb07a6f0fd3eff3f18be3189e62d0823f830515601f08071d27d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04046",
    "kind": "arxiv",
    "version": 3
  }
}