Pith Number

pith:PYM6AXMM

pith:2020:PYM6AXMMS2SJCBTKUCYGB32M45

not attested not anchored not stored refs pending

Brightest Cluster Galaxies: the centre can(not?) hold

Christine Jones, Cinthia Ragone-Figueroa, Diego Garcia Lambas, Elena A. Romashkova, Elena Rasia, Felipe Andrade-Santos, Kishore C. Patra, Michael J. West, Rain Kipper, Roberto De Propris, Stefano Borgani, William Forman

arxiv:2010.09617 v2 · 2020-10-19 · 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{PYM6AXMMS2SJCBTKUCYGB32M45}

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	2026-07-05T01:49:55.912930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e19e05d8c96a491066aa0b060ef4ce76d34ec9c717085dd7ad94a231cbf11ed

Aliases

arxiv: 2010.09617 · arxiv_version: 2010.09617v2 · doi: 10.48550/arxiv.2010.09617 · pith_short_12: PYM6AXMMS2SJ · pith_short_16: PYM6AXMMS2SJCBTK · pith_short_8: PYM6AXMM

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/PYM6AXMMS2SJCBTKUCYGB32M45 \
  | 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: 7e19e05d8c96a491066aa0b060ef4ce76d34ec9c717085dd7ad94a231cbf11ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db4588a5ef0915f6ee66541eef514ec52c37f9c1cdbaec18da7cac7d69ff126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2020-10-19T15:57:42Z",
    "title_canon_sha256": "c5c6db2916edf72d17b7fb61beb60a2bccd60054d5538a03dbea1ba6d135b4a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09617",
    "kind": "arxiv",
    "version": 2
  }
}