Pith Number

pith:M6UO7J4G

pith:2011:M6UO7J4GAW6ZX6444VG2OW7V2B

not attested not anchored not stored refs pending

Hubble expansion and structure formation in the "running FLRW model" of the cosmic evolution

Javier Grande, Joan Sola, Manolis Plionis, Spyros Basilakos

arxiv:1103.4632 v3 · 2011-03-23 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6UO7J4GAW6ZX6444VG2OW7V2B}

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	2026-05-18T04:16:01.848696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a8efa78605bd9bfb9ce54da75bf5d07de456477377bd1965c8a5eb374cf274

Aliases

arxiv: 1103.4632 · arxiv_version: 1103.4632v3 · doi: 10.48550/arxiv.1103.4632 · pith_short_12: M6UO7J4GAW6Z · pith_short_16: M6UO7J4GAW6ZX644 · pith_short_8: M6UO7J4G

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/M6UO7J4GAW6ZX6444VG2OW7V2B \
  | 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: 67a8efa78605bd9bfb9ce54da75bf5d07de456477377bd1965c8a5eb374cf274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7700f7f4d4421465db3de75fb936cec4892b103f4921832b62901dcb9a14ae05",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-03-23T21:09:28Z",
    "title_canon_sha256": "73250d7644526030cf479351ec0159b3bd3ed3026b9f45a1ebe12a97ae341808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4632",
    "kind": "arxiv",
    "version": 3
  }
}