Pith Number

pith:ABBVC6OG

pith:2021:ABBVC6OGQRLNZQ4P3VBCL7OXKZ

not attested not anchored not stored refs pending

Light rings and long-lived modes in quasi-black hole spacetimes

Jinguang Wang, Minyong Guo, Sijie Gao, Zhen Zhong

arxiv:2108.08967 v2 · 2021-08-20 · 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{ABBVC6OGQRLNZQ4P3VBCL7OXKZ}

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

$\ell$-Boson stars in anti-de Sitter spacetime

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

Receipt and verification

First computed	2026-07-05T03:50:16.063397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00435179c68456dcc38fdd4225fdd7567d018f75f69271a502e12f45b1ef88df

Aliases

arxiv: 2108.08967 · arxiv_version: 2108.08967v2 · doi: 10.48550/arxiv.2108.08967 · pith_short_12: ABBVC6OGQRLN · pith_short_16: ABBVC6OGQRLNZQ4P · pith_short_8: ABBVC6OG

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/ABBVC6OGQRLNZQ4P3VBCL7OXKZ \
  | 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: 00435179c68456dcc38fdd4225fdd7567d018f75f69271a502e12f45b1ef88df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ff2a5c9a45c50c7b71b46dfe289cd65bf72d94c9f6594b724e114ba4f7ee4ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-08-20T01:56:42Z",
    "title_canon_sha256": "92337c92a263661ef0ae0dbbb5f7cfcd954f1d0b4f5a6a879b3db77f8488b412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08967",
    "kind": "arxiv",
    "version": 2
  }
}