Pith Number

pith:BJQ7NSID

pith:2026:BJQ7NSIDMUZXTSZ3CMBWVXQRU2

not attested not anchored not stored refs pending

Geodesics and shadows of the spindle-deformed Kerr black hole

Hong-Da Lyu, Mingzhi Wang, Shoulong Li

arxiv:2607.10533 v1 · 2026-07-12 · 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{BJQ7NSIDMUZXTSZ3CMBWVXQRU2}

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	2026-07-14T01:21:19.996564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a61f6c903653379cb3b13036ade11a69455a4ae423591c9ec75d62aa01f77ba

Aliases

arxiv: 2607.10533 · arxiv_version: 2607.10533v1 · doi: 10.48550/arxiv.2607.10533 · pith_short_12: BJQ7NSIDMUZX · pith_short_16: BJQ7NSIDMUZXTSZ3 · pith_short_8: BJQ7NSID

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/BJQ7NSIDMUZXTSZ3CMBWVXQRU2 \
  | 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: 0a61f6c903653379cb3b13036ade11a69455a4ae423591c9ec75d62aa01f77ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cea15f63ed7052f4d7b8b95d86bc260b14ee91ec2dbe649098d7377d8e92bc1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-12T02:02:48Z",
    "title_canon_sha256": "7f136d40592d1735fd07849747d9a67bf7b5fd109b91711a758ed26b74166512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10533",
    "kind": "arxiv",
    "version": 1
  }
}