Pith Number

pith:AYRCRXZV

pith:2024:AYRCRXZVX6MCEUHU6U5CQILKVW

not attested not anchored not stored refs pending

sOPTICS: A Modified Density-Based Algorithm for Identifying Galaxy Groups/Clusters and Brightest Cluster Galaxies

Hai-Xia Ma, Suchetha Cooray, Tsutomu T. Takeuchi, Yongda Zhu

arxiv:2405.09855 v2 · 2024-05-16 · 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{AYRCRXZVX6MCEUHU6U5CQILKVW}

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	2026-07-05T10:02:23.194121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062228df35bf982250f4f53a28216aad89b3aab8f6419c81113edeca012e92a6

Aliases

arxiv: 2405.09855 · arxiv_version: 2405.09855v2 · doi: 10.48550/arxiv.2405.09855 · pith_short_12: AYRCRXZVX6MC · pith_short_16: AYRCRXZVX6MCEUHU · pith_short_8: AYRCRXZV

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/AYRCRXZVX6MCEUHU6U5CQILKVW \
  | 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: 062228df35bf982250f4f53a28216aad89b3aab8f6419c81113edeca012e92a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b19c69b621f6fe7e0669d03a8a2e928a96c7a2265a3a59a37e0827ed777d026",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-05-16T07:14:32Z",
    "title_canon_sha256": "a261f32720091ee999565a5e3f5c5adca2f2499955198f87b613a65554fbc5d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.09855",
    "kind": "arxiv",
    "version": 2
  }
}