Pith. sign in
Pith Number

pith:MQ5J7XGS

pith:2021:MQ5J7XGSS5H2FNZKHS74SLEW5J
not attested not anchored not stored refs pending

Observational optical constraints of regular black holes

Francisco S. N. Lobo, Khadije Jafarzade, Mahdi Kord Zangeneh

arxiv:2106.13893 v2 · 2021-06-25 · gr-qc · astro-ph.HE · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MQ5J7XGSS5H2FNZKHS74SLEW5J}

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 2026-07-05T05:12:01.995440Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

643a9fdcd2974fa2b72a3cbfc92c96ea4b7eb9f1013efd96b74097a84cb0ca39

Aliases

arxiv: 2106.13893 · arxiv_version: 2106.13893v2 · doi: 10.48550/arxiv.2106.13893 · pith_short_12: MQ5J7XGSS5H2 · pith_short_16: MQ5J7XGSS5H2FNZK · pith_short_8: MQ5J7XGS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQ5J7XGSS5H2FNZKHS74SLEW5J \
  | 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: 643a9fdcd2974fa2b72a3cbfc92c96ea4b7eb9f1013efd96b74097a84cb0ca39
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fb1bb69d04b02b236db13c8f00b84dfb4e086193c96fe2abbbac430035db4c9a",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-25T21:44:43Z",
    "title_canon_sha256": "eae5f0a5e143f5de056d4f82019525fa851a4ca460e1992c4649bf0cbe1afe1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13893",
    "kind": "arxiv",
    "version": 2
  }
}