Pith Number

pith:AVNYVTGZ

pith:2011:AVNYVTGZQRRTID4GQP6P2YLZ5J

not attested not anchored not stored refs pending

Complete solutions to the metric of spherically collapsing dust in an expanding spacetime with a cosmological constant

Wessel Valkenburg (RWTH Aachen)

arxiv:1104.1082 v3 · 2011-04-06 · gr-qc · 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{AVNYVTGZQRRTID4GQP6P2YLZ5J}

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.

Cited by

1 paper in Pith

CMB sky for an off-center observer in a local void I: framework for forecasts

Receipt and verification

First computed	2026-05-18T02:22:10.803528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

055b8accd98463340f8683fcfd6179ea7e47f4fb772150319829281992ee060d

Aliases

arxiv: 1104.1082 · arxiv_version: 1104.1082v3 · doi: 10.48550/arxiv.1104.1082 · pith_short_12: AVNYVTGZQRRT · pith_short_16: AVNYVTGZQRRTID4G · pith_short_8: AVNYVTGZ

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/AVNYVTGZQRRTID4GQP6P2YLZ5J \
  | 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: 055b8accd98463340f8683fcfd6179ea7e47f4fb772150319829281992ee060d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8adbb7fbf0d87e00f29098174b5af1e02225d865d63e20de551883855575509",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-06T13:02:36Z",
    "title_canon_sha256": "beed96002c2df8bde39e7a17b324e1e0a5a935cf302429d8c7a75a711376877b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1082",
    "kind": "arxiv",
    "version": 3
  }
}