Pith Number

pith:6O7D5ZB4

pith:2019:6O7D5ZB4ILX3H2S7XRPKZ2TXMU

not attested not anchored not stored refs pending

The parallelism between galaxy clusters and early-type galaxies: III. The Mass-Radius Relationship

Cesare Chiosi, Emiliano Merlin, Lorenzo Piovan, Mauro D'Onofrio, Paola Marziani

arxiv:1908.08808 v2 · 2019-08-22 · 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{6O7D5ZB4ILX3H2S7XRPKZ2TXMU}

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	2026-07-05T01:53:46.361046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3be3ee43c42efb3ea5fbc5eacea7765004adba6b31983d06a3c172e6c0a4291

Aliases

arxiv: 1908.08808 · arxiv_version: 1908.08808v2 · doi: 10.48550/arxiv.1908.08808 · pith_short_12: 6O7D5ZB4ILX3 · pith_short_16: 6O7D5ZB4ILX3H2S7 · pith_short_8: 6O7D5ZB4

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/6O7D5ZB4ILX3H2S7XRPKZ2TXMU \
  | 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: f3be3ee43c42efb3ea5fbc5eacea7765004adba6b31983d06a3c172e6c0a4291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0796b1847834b4aa8ae90d65b7d97cce90b089e3024f8bd0e1ffb89e311590",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2019-08-22T13:05:31Z",
    "title_canon_sha256": "694437ffedd3be199177ca309bff676115966971e2dc5710f5e61806f2804ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08808",
    "kind": "arxiv",
    "version": 2
  }
}