Pith Number

pith:XBROJZ2C

pith:2022:XBROJZ2CKJCZS64BQQ4SHMYJEF

not attested not anchored not stored refs pending

The shadow and photon sphere of the charged black hole in Rastall gravity

Guan-Ru Li, Guo-Ping Li, Ke-Jian He, Sen Guo

arxiv:2205.07242 v1 · 2022-05-15 · 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{XBROJZ2CKJCZS64BQQ4SHMYJEF}

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

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Receipt and verification

First computed	2026-07-05T04:23:26.795566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b862e4e7425245997b81843923b3092164d0469ba14835947241288d32ea5afd

Aliases

arxiv: 2205.07242 · arxiv_version: 2205.07242v1 · doi: 10.48550/arxiv.2205.07242 · pith_short_12: XBROJZ2CKJCZ · pith_short_16: XBROJZ2CKJCZS64B · pith_short_8: XBROJZ2C

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/XBROJZ2CKJCZS64BQQ4SHMYJEF \
  | 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: b862e4e7425245997b81843923b3092164d0469ba14835947241288d32ea5afd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d22b88dc73f473c4ebe063bf84983fa1328afdef82ce230df1272243bff3ae69",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-05-15T10:00:05Z",
    "title_canon_sha256": "fdc0f8a1d6f6f516a735caa5a51f016d4f512ab0be7fef2ad0cec083234519a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.07242",
    "kind": "arxiv",
    "version": 1
  }
}