Pith Number

pith:ML4RDBWA

pith:2015:ML4RDBWAFHVRRLJ3MP762537LM

not attested not anchored not stored refs pending

Beyond the growth rate of cosmic structure: Testing modified gravity models with an extra degree of freedom

Clare Burrage, David Parkinson, David Seery

arxiv:1502.03710 v2 · 2015-02-12 · astro-ph.CO · 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{ML4RDBWAFHVRRLJ3MP762537LM}

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	2026-05-18T00:27:22.657627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f91186c029eb18ad3b63ffed777f5b35a1f4c23116590b51d7c8ae123f7da4

Aliases

arxiv: 1502.03710 · arxiv_version: 1502.03710v2 · doi: 10.48550/arxiv.1502.03710 · pith_short_12: ML4RDBWAFHVR · pith_short_16: ML4RDBWAFHVRRLJ3 · pith_short_8: ML4RDBWA

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/ML4RDBWAFHVRRLJ3MP762537LM \
  | 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: 62f91186c029eb18ad3b63ffed777f5b35a1f4c23116590b51d7c8ae123f7da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "568efbc594edc57dbf1e6172ddd8423d607e50c8ed3cedd036ef07cc9b99b986",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-02-12T16:01:26Z",
    "title_canon_sha256": "35e2ac5fa1e2cbe171e7c299599499856e7f8537f3c6e94ea99744d2282f7efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03710",
    "kind": "arxiv",
    "version": 2
  }
}