Pith Number

pith:7YPZFJVH

pith:2026:7YPZFJVH6SXIGBNPFJK33TTBZW

not attested not anchored not stored refs pending

Strong field lensing and shadows of $\boldsymbol{f(Q,\mathcal{B})}$ gravity black holes

Rahul Das, Umananda Dev Goswami

arxiv:2606.24544 v1 · 2026-06-23 · 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{7YPZFJVH6SXIGBNPFJK33TTBZW}

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.

Receipt and verification

First computed	2026-06-24T01:15:33.454235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1f92a6a7f4ae8305af2a55bdce61cd86b4ed36c5f6355de5c586a4f5b7a120

Aliases

arxiv: 2606.24544 · arxiv_version: 2606.24544v1 · doi: 10.48550/arxiv.2606.24544 · pith_short_12: 7YPZFJVH6SXI · pith_short_16: 7YPZFJVH6SXIGBNP · pith_short_8: 7YPZFJVH

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/7YPZFJVH6SXIGBNPFJK33TTBZW \
  | 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: fe1f92a6a7f4ae8305af2a55bdce61cd86b4ed36c5f6355de5c586a4f5b7a120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b74bd4ac82a69d17438d8594dcfb1c2ff908299276b032ac55f5ce136c026a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-23T13:10:31Z",
    "title_canon_sha256": "f3f625958ce4498e1c6c7e4cda7de910e83765587ce66ded2c3f0c213c786da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24544",
    "kind": "arxiv",
    "version": 1
  }
}