Pith Number

pith:XS4CL5I4

pith:1998:XS4CL5I4NZ6R64AFZHSF6OFLIF

not attested not anchored not stored refs pending

Cluster luminosity function and n^th ranked magnitude as a distance indicator

A. Mazure, C. Adami, S. Rauzy

arxiv:astro-ph/9806162 v1 · 1998-06-11 · 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{XS4CL5I4NZ6R64AFZHSF6OFLIF}

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	2026-05-18T01:07:37.352233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb825f51c6e7d1f7005c9e45f38ab41639f1c58ab2d14dacdfc51f64793492e

Aliases

arxiv: astro-ph/9806162 · arxiv_version: astro-ph/9806162v1 · doi: 10.48550/arxiv.astro-ph/9806162 · pith_short_12: XS4CL5I4NZ6R · pith_short_16: XS4CL5I4NZ6R64AF · pith_short_8: XS4CL5I4

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/XS4CL5I4NZ6R64AFZHSF6OFLIF \
  | 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: bcb825f51c6e7d1f7005c9e45f38ab41639f1c58ab2d14dacdfc51f64793492e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b8a893dc1d143c68e9c9c6cdf06bcf4f908011f1f35d2f14b7444b8205f5c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-06-11T14:09:27Z",
    "title_canon_sha256": "8e6536ce8dd55a5f699ed24e83f89750b84f1b06187a8f095cdd78afe45d5256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9806162",
    "kind": "arxiv",
    "version": 1
  }
}