Pith Number

pith:ZCTHY4GO

pith:2010:ZCTHY4GOCFZ7IVBBMP5O2QMWVP

not attested not anchored not stored refs pending

Angular size test on the expansion of the Universe

Martin Lopez-Corredoira

arxiv:1002.0525 v1 · 2010-02-02 · 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{ZCTHY4GOCFZ7IVBBMP5O2QMWVP}

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	2026-05-18T02:09:20.860495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a67c70ce1173f4542163faed4196abfb25c7e8c6ac897ce9366c0cc541f2d5

Aliases

arxiv: 1002.0525 · arxiv_version: 1002.0525v1 · doi: 10.48550/arxiv.1002.0525 · pith_short_12: ZCTHY4GOCFZ7 · pith_short_16: ZCTHY4GOCFZ7IVBB · pith_short_8: ZCTHY4GO

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/ZCTHY4GOCFZ7IVBBMP5O2QMWVP \
  | 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: c8a67c70ce1173f4542163faed4196abfb25c7e8c6ac897ce9366c0cc541f2d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475b4b0d70a465f901efdf4620c3763e076d69ff892a38ed8bc79bd2d6b2de6d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-02-02T16:12:19Z",
    "title_canon_sha256": "23f6f426c625f8b5104e8cc396d6cc184ecfd75bdb255d610d82c7a63758a23f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0525",
    "kind": "arxiv",
    "version": 1
  }
}