Pith Number

pith:KYALHYI5

pith:2020:KYALHYI5U72C6VFHSTTLIKQBU2

not attested not anchored not stored refs pending

Rotating dirty black hole and its shadow

Emmanuel T. Rodulfo, Reggie C. Pantig

arxiv:2003.06829 v3 · 2020-03-15 · 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{KYALHYI5U72C6VFHSTTLIKQBU2}

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

Photon rings and shadows of black holes with non-minimal couplings between curvature and electromagnetic field

Receipt and verification

First computed	2026-07-05T01:25:37.474900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5600b3e11da7f42f54a794e6b42a01a69dec50f91df5b3fd0c8b8d4384f7ce4c

Aliases

arxiv: 2003.06829 · arxiv_version: 2003.06829v3 · doi: 10.48550/arxiv.2003.06829 · pith_short_12: KYALHYI5U72C · pith_short_16: KYALHYI5U72C6VFH · pith_short_8: KYALHYI5

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/KYALHYI5U72C6VFHSTTLIKQBU2 \
  | 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: 5600b3e11da7f42f54a794e6b42a01a69dec50f91df5b3fd0c8b8d4384f7ce4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f3e8d9e9c550dfa701cd6da54ddb4bf9c9cc86804e0356703d13bff94c3a2d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-15T13:33:13Z",
    "title_canon_sha256": "354631935b04a16136eb5780b94b671db4880dc7fa08f3bee68f3723852fad47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.06829",
    "kind": "arxiv",
    "version": 3
  }
}