Pith Number

pith:KKS3GD3O

pith:1994:KKS3GD3O6QIQD2ELLL5AE5X4HR

not attested not anchored not stored refs pending

Substructures of Clusters and Cosmological Models

G. Boerner, H. J. Mo, L. Z. Fang, Y. P. Jing

arxiv:astro-ph/9411045 v1 · 1994-11-11 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKS3GD3O6QIQD2ELLL5AE5X4HR}

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	2026-07-04T14:48:52.334739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a5b30f6ef41101e88b5afa0276fc3c798b0ad67fd4ba2395baab54ce9e5693

Aliases

arxiv: astro-ph/9411045 · arxiv_version: astro-ph/9411045v1 · doi: 10.48550/arxiv.astro-ph/9411045 · pith_short_12: KKS3GD3O6QIQ · pith_short_16: KKS3GD3O6QIQD2EL · pith_short_8: KKS3GD3O

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/KKS3GD3O6QIQD2ELLL5AE5X4HR \
  | 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: 52a5b30f6ef41101e88b5afa0276fc3c798b0ad67fd4ba2395baab54ce9e5693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12fe6c5a77ec0972b2d7fbbfe5a81d5bd18c03017f21f084a5d7bfcfbf62861e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1994-11-11T09:06:27Z",
    "title_canon_sha256": "50552ca916a7635d0487974e057103a1fbfdb0cc33bc7ac6149e5e0a4d29be03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9411045",
    "kind": "arxiv",
    "version": 1
  }
}