Pith Number

pith:EVBTTLBO

pith:2022:EVBTTLBO3XB36RVLRNJU2WEKCC

not attested not anchored not stored refs pending

Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves

Oleg Yu. Tsupko

arxiv:2208.02084 v2 · 2022-08-03 · 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{EVBTTLBO3XB36RVLRNJU2WEKCC}

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

Light Rings, Accretion Disks and Shadows of Hayward Boson Stars

Receipt and verification

First computed	2026-07-05T04:58:38.305359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

254339ac2eddc3bf46ab8b534d588a108cf0d6aa8eb6cc59b57f5cf40bfe4262

Aliases

arxiv: 2208.02084 · arxiv_version: 2208.02084v2 · doi: 10.48550/arxiv.2208.02084 · pith_short_12: EVBTTLBO3XB3 · pith_short_16: EVBTTLBO3XB36RVL · pith_short_8: EVBTTLBO

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/EVBTTLBO3XB36RVLRNJU2WEKCC \
  | 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: 254339ac2eddc3bf46ab8b534d588a108cf0d6aa8eb6cc59b57f5cf40bfe4262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d862578b0094885b721c34df2259549801e66ccb87f044f52f56962d47c0bdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-08-03T14:09:06Z",
    "title_canon_sha256": "e9e0430ba3f20c1fe781aeb14ca078b8cfa8d20b35f22ed2e244c631cd3883db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.02084",
    "kind": "arxiv",
    "version": 2
  }
}