Pith Number

pith:O2R2RUCD

pith:2012:O2R2RUCD7UJR5R2BTMY3O4LWA6

not attested not anchored not stored refs pending

On the Formation of cD Galaxies and their Parent Clusters

H. Andernach, H. M. Tovmassian

arxiv:1212.0238 v1 · 2012-12-02 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2R2RUCD7UJR5R2BTMY3O4LWA6}

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	2026-05-18T03:39:26.766218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a3a8d043fd131ec7419b31b771760787e3a70d02c7ebeaa9a7f8e30df92428

Aliases

arxiv: 1212.0238 · arxiv_version: 1212.0238v1 · doi: 10.48550/arxiv.1212.0238 · pith_short_12: O2R2RUCD7UJR · pith_short_16: O2R2RUCD7UJR5R2B · pith_short_8: O2R2RUCD

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/O2R2RUCD7UJR5R2BTMY3O4LWA6 \
  | 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: 76a3a8d043fd131ec7419b31b771760787e3a70d02c7ebeaa9a7f8e30df92428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7388093e30cd15d71125da642cee0f6be25c37000f77a39e5a3eca111b5ddf89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-02T20:07:55Z",
    "title_canon_sha256": "7cbf4181fcaecdfc7990d85d53c552cce438bcf49a02bdd98dbe4c97d597c2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0238",
    "kind": "arxiv",
    "version": 1
  }
}