Pith Number

pith:RGQKOSZX

pith:2021:RGQKOSZXDL4HKQR3UMQ5MN2YDZ

not attested not anchored not stored refs pending

Photon Ring and Observational Appearance of a Hairy Black Hole

Haitang Yang, Houwen Wu, Peng Wang, Qingyu Gan

arxiv:2105.11770 v2 · 2021-05-25 · 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{RGQKOSZXDL4HKQR3UMQ5MN2YDZ}

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

4 papers in Pith

Critical phenomenon inside asymptotically flat black holes with spontaneous scalarization

Observational Signatures of Rotating Ay\'{o}n-Beato-Garc\'{i}a Black Holes: Shadows, Accretion Disks and Images

Topologically equivalent yet radiatively distinct orbits in EMRI system

Scalarizations of magnetized Reissner-Nordstr\"om black holes induced by parity-violating and parity-preserving interactions

Receipt and verification

First computed	2026-07-05T03:08:30.773859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89a0a74b371af875423ba321d637581e6e8afe3e7557eacf47d4556ec993d4e9

Aliases

arxiv: 2105.11770 · arxiv_version: 2105.11770v2 · doi: 10.48550/arxiv.2105.11770 · pith_short_12: RGQKOSZXDL4H · pith_short_16: RGQKOSZXDL4HKQR3 · pith_short_8: RGQKOSZX

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/RGQKOSZXDL4HKQR3UMQ5MN2YDZ \
  | 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: 89a0a74b371af875423ba321d637581e6e8afe3e7557eacf47d4556ec993d4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8cbd9b6567409cac2b486ea6e6de2c9737e5e2cba9bb0698ef0508927cc96d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-05-25T09:11:34Z",
    "title_canon_sha256": "3896311fdc7982412d739230f94f1dd5d0bfe51a58cc7e702c07429f3c52aaad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11770",
    "kind": "arxiv",
    "version": 2
  }
}