Pith Number

pith:LMKBNLGG

pith:1997:LMKBNLGGO7MDHAKY2NGYWRJI4C

not attested not anchored not stored refs pending

Modelling galaxy clustering at high redshift

Francesco Lucchin, Lauro Moscardini, Peter Coles, Sabino Matarrese

arxiv:astro-ph/9712184 v3 · 1997-12-15 · 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{LMKBNLGGO7MDHAKY2NGYWRJI4C}

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	2026-07-04T16:03:32.118959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b1416acc677d8338158d34d8b4528e09864f09c359dd002cab1abac405b93cf

Aliases

arxiv: astro-ph/9712184 · arxiv_version: astro-ph/9712184v3 · doi: 10.48550/arxiv.astro-ph/9712184 · pith_short_12: LMKBNLGGO7MD · pith_short_16: LMKBNLGGO7MDHAKY · pith_short_8: LMKBNLGG

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/LMKBNLGGO7MDHAKY2NGYWRJI4C \
  | 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: 5b1416acc677d8338158d34d8b4528e09864f09c359dd002cab1abac405b93cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfe5998a8da0f9845950a26765483000a4f62d61577ebf00daacfdf02f4480b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-12-15T18:30:11Z",
    "title_canon_sha256": "6e0a5b458685924c16e8bf976a79a7f1fbba7ca42241246d0f46355babe4d688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9712184",
    "kind": "arxiv",
    "version": 3
  }
}