Pith Number

pith:XK4Q6OHW

pith:1998:XK4Q6OHWXM6OBKXFG7IMIBUKVC

not attested not anchored not stored refs pending

Formation of Groups and Clusters of Galaxies

Alexander Knebe, Volker Mueller

arxiv:astro-ph/9809255 v1 · 1998-09-21 · 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{XK4Q6OHWXM6OBKXFG7IMIBUKVC}

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	2026-05-18T04:21:40.013002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab90f38f6bb3ce0aae537d0c4068aa8a324f0132b939282284fee029d129835

Aliases

arxiv: astro-ph/9809255 · arxiv_version: astro-ph/9809255v1 · doi: 10.48550/arxiv.astro-ph/9809255 · pith_short_12: XK4Q6OHWXM6O · pith_short_16: XK4Q6OHWXM6OBKXF · pith_short_8: XK4Q6OHW

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/XK4Q6OHWXM6OBKXFG7IMIBUKVC \
  | 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: bab90f38f6bb3ce0aae537d0c4068aa8a324f0132b939282284fee029d129835

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e454cd5f14cface37ae2f6b3a1a5a11e88af4703da0bf2ef1df5890cd9586a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-09-21T11:18:13Z",
    "title_canon_sha256": "58c1a85ee85179f49a1eb974175f8d8ac11da0a1b651455c97f9d185653ddb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9809255",
    "kind": "arxiv",
    "version": 1
  }
}