Pith Number

pith:2SY6WRRW

pith:2024:2SY6WRRWEL7LRT3EKGX5OPVDCX

not attested not anchored not stored refs pending

Light rings and shadows of static black holes in effective quantum gravity

Di Wu, Jieci Wang, Wentao Liu

arxiv:2408.05569 v3 · 2024-08-10 · 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{2SY6WRRWEL7LRT3EKGX5OPVDCX}

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

3 papers in Pith

$\tt BlackHawk$ $\tt v3.0$: Hawking Radiation from Regular Black Holes

Topological charge and black hole photon spheres in massive gravity

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

Receipt and verification

First computed	2026-07-05T09:16:51.946447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b1eb463622feb8cf6451afd73ea315fde7b2245eeb84df38e6397aa2f72546

Aliases

arxiv: 2408.05569 · arxiv_version: 2408.05569v3 · doi: 10.48550/arxiv.2408.05569 · pith_short_12: 2SY6WRRWEL7L · pith_short_16: 2SY6WRRWEL7LRT3E · pith_short_8: 2SY6WRRW

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/2SY6WRRWEL7LRT3EKGX5OPVDCX \
  | 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: d4b1eb463622feb8cf6451afd73ea315fde7b2245eeb84df38e6397aa2f72546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3bb4d43e88264ec909fe52d7a42255099574d724d58f05d85206eeb630df12f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-08-10T14:44:21Z",
    "title_canon_sha256": "93bc7458d4abfdfadff8d8093d40eb383337b61e4d3bff19ea74d172a989f361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05569",
    "kind": "arxiv",
    "version": 3
  }
}