Pith Number

pith:RMIGUSXB

pith:2026:RMIGUSXBSFMNU36O6FYANS2T7Z

not attested not anchored not stored refs pending

Testing Statistical Isotropy on the Sphere with Minkowski Tensors

Changbom Park, Stephen Appleby

arxiv:2607.23973 v1 · 2026-07-27 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMIGUSXBSFMNU36O6FYANS2T7Z}

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	2026-07-28T01:23:39.212550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b106a4ae19158da6fcef17006cb53fe776534f4e4e79fb232f693d77f92c48d

Aliases

arxiv: 2607.23973 · arxiv_version: 2607.23973v1 · doi: 10.48550/arxiv.2607.23973 · pith_short_12: RMIGUSXBSFMN · pith_short_16: RMIGUSXBSFMNU36O · pith_short_8: RMIGUSXB

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/RMIGUSXBSFMNU36O6FYANS2T7Z \
  | 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: 8b106a4ae19158da6fcef17006cb53fe776534f4e4e79fb232f693d77f92c48d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0843ba8436dd4955b55c39b440e5f2b6b0b59248ff878d5083797962b1ee8a66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-27T03:49:28Z",
    "title_canon_sha256": "e8605975b16af28d2cd0602062899b18fc8424a0c5f5ecfa920c52cc644e7dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23973",
    "kind": "arxiv",
    "version": 1
  }
}