Pith Number

pith:GQRYNKP5

pith:1998:GQRYNKP5QSPCX44HJRUXKVRB2Q

not attested not anchored not stored refs pending

Early type galaxies in the hierarchical universe

A.J. Benson (University of Durham) C.G. Lacey (TAC, C.M. Baugh, Copenhagen), C.S. Frenk, S. Cole

arxiv:astro-ph/9808209 v1 · 1998-08-20 · 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{GQRYNKP5QSPCX44HJRUXKVRB2Q}

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	2026-07-04T14:15:58.679514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

342386a9fd849e2bf3874c69755621d4078102ebbd45d1eab5adfb16d849e463

Aliases

arxiv: astro-ph/9808209 · arxiv_version: astro-ph/9808209v1 · doi: 10.48550/arxiv.astro-ph/9808209 · pith_short_12: GQRYNKP5QSPC · pith_short_16: GQRYNKP5QSPCX44H · pith_short_8: GQRYNKP5

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/GQRYNKP5QSPCX44HJRUXKVRB2Q \
  | 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: 342386a9fd849e2bf3874c69755621d4078102ebbd45d1eab5adfb16d849e463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622b030332a3babfcecfe50c535ce4279009836f50062827fa5d56e4e83c31e4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-08-20T07:25:09Z",
    "title_canon_sha256": "1a5d220233714181cc5edf96baf676414d1f3d73e7715ad653caae0409367d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9808209",
    "kind": "arxiv",
    "version": 1
  }
}