Pith Number

pith:CIDSOAFJ

pith:1998:CIDSOAFJEXYCBAITHTYOVAFIBK

not attested not anchored not stored refs pending

The fundamental plane of clusters of galaxies: a quest for understanding cluster dynamics and morphology

Christoph Fritsch, Thomas Buchert

arxiv:astro-ph/9806173 v2 · 1998-06-12 · 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{CIDSOAFJEXYCBAITHTYOVAFIBK}

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	2026-05-18T04:21:40.158777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12072700a925f02081133cf0ea80a80aae744429bdf4f4ec976b2502dcdcca67

Aliases

arxiv: astro-ph/9806173 · arxiv_version: astro-ph/9806173v2 · doi: 10.48550/arxiv.astro-ph/9806173 · pith_short_12: CIDSOAFJEXYC · pith_short_16: CIDSOAFJEXYCBAIT · pith_short_8: CIDSOAFJ

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/CIDSOAFJEXYCBAITHTYOVAFIBK \
  | 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: 12072700a925f02081133cf0ea80a80aae744429bdf4f4ec976b2502dcdcca67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542885ce6f7ca7196c1a1397812f4805d352ae806fb747576b1a290f2a75ef1a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-06-12T10:15:25Z",
    "title_canon_sha256": "83296956dbe78ff5014b176e61e77beff8acbf260c1b262067b36c28bb750221"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9806173",
    "kind": "arxiv",
    "version": 2
  }
}