Pith Number

pith:RYGPNUUQ

pith:2022:RYGPNUUQ4PIW3JYRR6QIKAMFCJ

not attested not anchored not stored refs pending

Photon Rings Around Warped Black Holes

Alexandru Lupsasca, Andrew Strominger, Daniel Kapec

arxiv:2211.01674 v1 · 2022-11-03 · gr-qc · 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{RYGPNUUQ4PIW3JYRR6QIKAMFCJ}

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

2 papers in Pith

Black Hole Photon Rings Saturate the Quantum Chaos Bound

Black hole spectroscopy: from theory to experiment

Receipt and verification

First computed	2026-07-05T06:02:01.361694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0cf6d290e3d16da7118fa0850185125f18a27e9add97123e4126d68c561b29

Aliases

arxiv: 2211.01674 · arxiv_version: 2211.01674v1 · doi: 10.48550/arxiv.2211.01674 · pith_short_12: RYGPNUUQ4PIW · pith_short_16: RYGPNUUQ4PIW3JYR · pith_short_8: RYGPNUUQ

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/RYGPNUUQ4PIW3JYRR6QIKAMFCJ \
  | 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: 8e0cf6d290e3d16da7118fa0850185125f18a27e9add97123e4126d68c561b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8311dbe3fc633da8933f4bcd7a8f784426133341619ba464959c23bf9ef517",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-03T09:38:04Z",
    "title_canon_sha256": "e147d45e11c458b0203e9591239f30e94e9b2ff224831927e36c0ec2105b17e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.01674",
    "kind": "arxiv",
    "version": 1
  }
}