Pith Number

pith:LL4ET2PG

pith:1996:LL4ET2PGICWBRNATHMYNVGRN6T

not attested not anchored not stored refs pending

Luminosity Functions of Elliptical Galaxies at z < 1.2

Kavan U. Ratnatunga (Johns Hopkins University), Myungshin Im, Richard E. Griffiths, Vicki L. Sarajedini (Steward Observatory)

arxiv:astro-ph/9602041 v1 · 1996-02-08 · 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{LL4ET2PGICWBRNATHMYNVGRN6T}

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	2026-05-18T01:07:41.147549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af849e9e640ac18b4133b30da9a2df4dc16b6e323f05585cffbff8c0cb73779

Aliases

arxiv: astro-ph/9602041 · arxiv_version: astro-ph/9602041v1 · doi: 10.48550/arxiv.astro-ph/9602041 · pith_short_12: LL4ET2PGICWB · pith_short_16: LL4ET2PGICWBRNAT · pith_short_8: LL4ET2PG

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/LL4ET2PGICWBRNATHMYNVGRN6T \
  | 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: 5af849e9e640ac18b4133b30da9a2df4dc16b6e323f05585cffbff8c0cb73779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804d767297f31a1f6ebda8723a18a582321ad9628b2ee02cb3f200c614f94056",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-02-08T19:02:23Z",
    "title_canon_sha256": "f17e23dbf5c7ebc5bedfba7d9d77bfa4fe3228f4d64c6c7de78cc310c49798b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9602041",
    "kind": "arxiv",
    "version": 1
  }
}