Pith Number

pith:QBYC2Z7F

pith:2020:QBYC2Z7FWVIRW3ISTYYU2QHLHS

not attested not anchored not stored refs pending

Influence of Quantum Correction on the Black Hole Shadows, Photon Rings and Lensing Rings

Jun Peng, Minyong Guo, Xing-Hui Feng

arxiv:2008.00657 v1 · 2020-08-03 · 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{QBYC2Z7FWVIRW3ISTYYU2QHLHS}

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

Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential

Reshaping the inner shadow of a Kerr black hole by a torn accretion disk

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

Receipt and verification

First computed	2026-07-05T03:09:56.605698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80702d67e5b5511b6d129e314d40eb3c892e5e640a635636569378a0e40ff9c3

Aliases

arxiv: 2008.00657 · arxiv_version: 2008.00657v1 · doi: 10.48550/arxiv.2008.00657 · pith_short_12: QBYC2Z7FWVIR · pith_short_16: QBYC2Z7FWVIRW3IS · pith_short_8: QBYC2Z7F

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/QBYC2Z7FWVIRW3ISTYYU2QHLHS \
  | 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: 80702d67e5b5511b6d129e314d40eb3c892e5e640a635636569378a0e40ff9c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134f09bf2057798a0d34cc7e61cb669073183f434a1f9429468eb3629ee0d94c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-08-03T05:42:28Z",
    "title_canon_sha256": "7bd17791f502f8ecdd2ef6d01cc8ae8bc79e7bd4e8d0473ff90e5cf0bcc9dd7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00657",
    "kind": "arxiv",
    "version": 1
  }
}