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Pith Number

pith:YTWIGTSK

pith:1993:YTWIGTSKUYTHTHRNKMMW6CD7TO
not attested not anchored not stored refs pending

The Fundamental Plane of Galaxy Clusters

A. Cappi, F. Bernardeau, R. Schaeffer, S. Maurogordato

arxiv:astro-ph/9304018 v1 · 1993-04-20 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YTWIGTSKUYTHTHRNKMMW6CD7TO}

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 2026-05-18T01:12:44.322679Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c4ec834e4aa626799e2d53196f087f9ba381107f49896d2d1ce6b8693cb4bf9a

Aliases

arxiv: astro-ph/9304018 · arxiv_version: astro-ph/9304018v1 · doi: 10.48550/arxiv.astro-ph/9304018 · pith_short_12: YTWIGTSKUYTH · pith_short_16: YTWIGTSKUYTHTHRN · pith_short_8: YTWIGTSK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YTWIGTSKUYTHTHRNKMMW6CD7TO \
  | 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: c4ec834e4aa626799e2d53196f087f9ba381107f49896d2d1ce6b8693cb4bf9a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fad98b8dd29bc4768cdeb242e1f9687fd9c4710ff97869619e626f6bc3806c4d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-04-20T13:24:00Z",
    "title_canon_sha256": "a10da559fc70dec52d0ab4cafe8f92e7bf41d9523e2f008929bec612cafbcb3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9304018",
    "kind": "arxiv",
    "version": 1
  }
}