Pith Number

pith:KWIU4CPR

pith:2012:KWIU4CPR6SUNOBLEJYTULKWOEO

not attested not anchored not stored refs pending

Relativistic virialization in the Spherical Collapse model for Einstein-de Sitter and \Lambda CDM cosmologies

Francesco Pace, Matthias Bartelmann, Sven Meyer

arxiv:1206.0618 v1 · 2012-06-04 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWIU4CPR6SUNOBLEJYTULKWOEO}

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	2026-05-18T03:22:40.537493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55914e09f1f4a8d705644e2745aace23967d60241d750228f6170489bc50863e

Aliases

arxiv: 1206.0618 · arxiv_version: 1206.0618v1 · doi: 10.48550/arxiv.1206.0618 · pith_short_12: KWIU4CPR6SUN · pith_short_16: KWIU4CPR6SUNOBLE · pith_short_8: KWIU4CPR

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/KWIU4CPR6SUNOBLEJYTULKWOEO \
  | 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: 55914e09f1f4a8d705644e2745aace23967d60241d750228f6170489bc50863e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76df6610f2a892e49ef7741b8cc48adad4c18b91c6aacfbcc2f2768ceed2bc67",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-04T13:46:50Z",
    "title_canon_sha256": "5493473417885f5565a1225f984cc1d82cd2719a8b9f34e8d6e36142fd5dea1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0618",
    "kind": "arxiv",
    "version": 1
  }
}