Pith Number

pith:OKC3VUYZ

pith:2020:OKC3VUYZSF2DREMSPU4NLT6MDL

not attested not anchored not stored refs pending

Shadow of nulllike and timelike naked singularities without photon spheres

Dipanjan Dey, Pankaj S. Joshi, Rajibul Shaikh

arxiv:2009.07487 v2 · 2020-09-16 · 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{OKC3VUYZSF2DREMSPU4NLT6MDL}

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

Optical images of Kerr-Sen black hole illuminated by thick accretion disks

Receipt and verification

First computed	2026-07-05T02:06:13.691395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7285bad31991743891927d38d5cfcc1ad9996efe5673b6de683d4c9b51a8ceae

Aliases

arxiv: 2009.07487 · arxiv_version: 2009.07487v2 · doi: 10.48550/arxiv.2009.07487 · pith_short_12: OKC3VUYZSF2D · pith_short_16: OKC3VUYZSF2DREMS · pith_short_8: OKC3VUYZ

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/OKC3VUYZSF2DREMSPU4NLT6MDL \
  | 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: 7285bad31991743891927d38d5cfcc1ad9996efe5673b6de683d4c9b51a8ceae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335d02f0d2949e9cfc4353a48360f70887c1d6760134a88fc91c4bb77ba82a8a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-09-16T06:15:49Z",
    "title_canon_sha256": "d5681390f54b81b48cfc3b0fb0a802ec5ea5e474b32aae1b4019cc45c1bafc63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07487",
    "kind": "arxiv",
    "version": 2
  }
}