Pith Number

pith:YPQEZWD7

pith:2020:YPQEZWD7BADEVIOJJJE5GHZEVW

not attested not anchored not stored refs pending

Shadows of the accelerating black holes

Jie Jiang, Ming Zhang

arxiv:2010.12194 v1 · 2020-10-23 · 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{YPQEZWD7BADEVIOJJJE5GHZEVW}

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

1 paper in Pith

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

Receipt and verification

First computed	2026-07-05T02:08:12.685702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e04cd87f08064aa1c94a49d31f24adae3143ee5e7df64430f780a0c377a360

Aliases

arxiv: 2010.12194 · arxiv_version: 2010.12194v1 · doi: 10.48550/arxiv.2010.12194 · pith_short_12: YPQEZWD7BADE · pith_short_16: YPQEZWD7BADEVIOJ · pith_short_8: YPQEZWD7

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/YPQEZWD7BADEVIOJJJE5GHZEVW \
  | 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: c3e04cd87f08064aa1c94a49d31f24adae3143ee5e7df64430f780a0c377a360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ba9f083b167d4b128fd10777ccdd2787e63075365a3848a908c736d6fb3fdf",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-10-23T06:52:56Z",
    "title_canon_sha256": "b4c7af9329ebaf597d7f0cad8d38e67916bd6888875e74e5a8c0640b58109a34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.12194",
    "kind": "arxiv",
    "version": 1
  }
}