Pith Number

pith:E5WKMVAX

pith:2010:E5WKMVAXPV7BCES5HKYLOFRTLA

not attested not anchored not stored refs pending

The linear growth rate of structure in Parametrized Post Friedmannian Universes

Constantinos Skordis (Nottingham), Pedro G. Ferreira (Oxford)

arxiv:1003.4231 v2 · 2010-03-22 · 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{E5WKMVAXPV7BCES5HKYLOFRTLA}

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	2026-07-04T17:29:30.510595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276ca654177d7e11125d3ab0b71633583a5309407a5a2b2e441511a06d212f9c

Aliases

arxiv: 1003.4231 · arxiv_version: 1003.4231v2 · doi: 10.48550/arxiv.1003.4231 · pith_short_12: E5WKMVAXPV7B · pith_short_16: E5WKMVAXPV7BCES5 · pith_short_8: E5WKMVAX

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/E5WKMVAXPV7BCES5HKYLOFRTLA \
  | 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: 276ca654177d7e11125d3ab0b71633583a5309407a5a2b2e441511a06d212f9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9751eab0728993da24deb974ddc1625f140828e44658f1e44ddfd9627131e6e6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-03-22T18:10:23Z",
    "title_canon_sha256": "87b0dc9c9984979e4c025c1ed102d6e5f7cda114dcf51c7889aa13b18bbdf975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4231",
    "kind": "arxiv",
    "version": 2
  }
}