Pith Number

pith:7ILB6FKH

pith:2026:7ILB6FKHNRQNZJCECMIMMKHKNJ

not attested not anchored not stored refs pending

Black hole shadow parameters and quasi-normal modes for Weyl-incorporated gravity

Kaynat Fatima, Mubasher Jamil, Noraiz Tahir, Tajammal Hussain Khokhar

arxiv:2607.23552 v1 · 2026-07-26 · 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{7ILB6FKHNRQNZJCECMIMMKHKNJ}

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	2026-07-28T01:22:58.943175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa161f15476c60dca4441310c628ea6a5f77176d72016c887558c546b579690a

Aliases

arxiv: 2607.23552 · arxiv_version: 2607.23552v1 · doi: 10.48550/arxiv.2607.23552 · pith_short_12: 7ILB6FKHNRQN · pith_short_16: 7ILB6FKHNRQNZJCE · pith_short_8: 7ILB6FKH

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/7ILB6FKHNRQNZJCECMIMMKHKNJ \
  | 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: fa161f15476c60dca4441310c628ea6a5f77176d72016c887558c546b579690a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54fa8348f18219630afe2e8aea3d503bd7239b66c6c1c4b65276520995168665",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-26T09:10:23Z",
    "title_canon_sha256": "ff76665f8759f75b853d8469f7dfe7527a8216fa892b6f19a0a30c46a9944cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23552",
    "kind": "arxiv",
    "version": 1
  }
}