Pith. sign in
Pith Number

pith:RGPY2CFN

pith:2021:RGPY2CFNDHRTB3VGWLBLLY4JQL
not attested not anchored not stored refs pending

Black hole shadow to probe modified gravity

A. Stepanian, Sh. Khlghatyan, V.G. Gurzadyan

arxiv:2101.08261 v1 · 2021-01-20 · gr-qc · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RGPY2CFNDHRTB3VGWLBLLY4JQL}

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

Receipt and verification
First computed 2026-07-05T02:10:28.533669Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

899f8d08ad19e330eea6b2c2b5e38982f81351c960725cbd4ea33f8e15d0571c

Aliases

arxiv: 2101.08261 · arxiv_version: 2101.08261v1 · doi: 10.48550/arxiv.2101.08261 · pith_short_12: RGPY2CFNDHRT · pith_short_16: RGPY2CFNDHRTB3VG · pith_short_8: RGPY2CFN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RGPY2CFNDHRTB3VGWLBLLY4JQL \
  | 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: 899f8d08ad19e330eea6b2c2b5e38982f81351c960725cbd4ea33f8e15d0571c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "38d82c3d4176792feae160da5b7990b9f1afc85a53ad56fe6482d1adebedfe8b",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-20T03:17:17Z",
    "title_canon_sha256": "cff7e4be6fdf6aee242115de6f74d78ea3627d97e45de55a22119903c63061dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08261",
    "kind": "arxiv",
    "version": 1
  }
}