Pith Number

pith:HZRXBF7P

pith:2019:HZRXBF7PGCWKEXWMUST6433J7D

not attested not anchored not stored refs pending

$R_{\rm e}$. I. Understanding galaxy sizes, associated luminosity densities, and the artificial division of the early-type galaxy population

Alister W. Graham

arxiv:1909.04867 v2 · 2019-09-11 · astro-ph.GA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZRXBF7PGCWKEXWMUST6433J7D}

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	2026-07-05T00:14:33.747268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e637097ef30aca25ecca4a7ee6f69f8e56919ea0befcacdf1aafb4a47cfc078

Aliases

arxiv: 1909.04867 · arxiv_version: 1909.04867v2 · doi: 10.48550/arxiv.1909.04867 · pith_short_12: HZRXBF7PGCWK · pith_short_16: HZRXBF7PGCWKEXWM · pith_short_8: HZRXBF7P

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/HZRXBF7PGCWKEXWMUST6433J7D \
  | 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: 3e637097ef30aca25ecca4a7ee6f69f8e56919ea0befcacdf1aafb4a47cfc078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3187235a2d5ad66eed116e0cc946f62178d6b57959094fbdcff942dbbf8deac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2019-09-11T06:21:49Z",
    "title_canon_sha256": "a044efe866c29a4940ed683bf5f7efc6ba007fd3544b94e23cca0ea3e3a173b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04867",
    "kind": "arxiv",
    "version": 2
  }
}