Pith Number

pith:QCDXMYQG

pith:2016:QCDXMYQGOW4ZINCXNECZVM2ZXS

not attested not anchored not stored refs pending

Hubble-Lema\^itre fragmentation and the path to equilibrium of merger-driven cluster formation

Christian M. Boily, Christophe Becker, Estelle Moraux, Julien Dorval, Thomas Maschberger

arxiv:1603.07223 v2 · 2016-03-23 · 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{QCDXMYQGOW4ZINCXNECZVM2ZXS}

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	2026-05-18T01:16:39.438623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

808776620675b994345769059ab359bc9030558ca64e2710c048b3cb337663cc

Aliases

arxiv: 1603.07223 · arxiv_version: 1603.07223v2 · doi: 10.48550/arxiv.1603.07223 · pith_short_12: QCDXMYQGOW4Z · pith_short_16: QCDXMYQGOW4ZINCX · pith_short_8: QCDXMYQG

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/QCDXMYQGOW4ZINCXNECZVM2ZXS \
  | 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: 808776620675b994345769059ab359bc9030558ca64e2710c048b3cb337663cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d37f31c593c4ff390f4de1c9067461f6305b4eba0423130f7594a3848d5017c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-03-23T15:08:22Z",
    "title_canon_sha256": "937693b5115c0c0967deddb7612ae9d19c804bfb8d69623d71939240afab1734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07223",
    "kind": "arxiv",
    "version": 2
  }
}