Pith Number

pith:LS2PIQ3B

pith:2009:LS2PIQ3BLKUTQEYHXFSRVUHOA7

not attested not anchored not stored refs pending

Cosmological Perturbations and the Running Cosmological Constant Model

A. M. Velasquez-Toribio

arxiv:0907.3518 v4 · 2009-07-20 · 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{LS2PIQ3BLKUTQEYHXFSRVUHOA7}

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	2026-05-18T02:24:47.952513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb4f443615aa9381307b9651ad0ee07dafeb09546f607b1278e4d649e31b457

Aliases

arxiv: 0907.3518 · arxiv_version: 0907.3518v4 · doi: 10.48550/arxiv.0907.3518 · pith_short_12: LS2PIQ3BLKUT · pith_short_16: LS2PIQ3BLKUTQEYH · pith_short_8: LS2PIQ3B

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/LS2PIQ3BLKUTQEYHXFSRVUHOA7 \
  | 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: 5cb4f443615aa9381307b9651ad0ee07dafeb09546f607b1278e4d649e31b457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e0eb64d3b6de59df83d60a5d02f335c65135a66a349f26049d3b440e86233d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-07-20T23:53:59Z",
    "title_canon_sha256": "5ef720bd28c2ccc1ebb1161e1e3523558734e2065c05f7fa42c99246a865dcc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3518",
    "kind": "arxiv",
    "version": 4
  }
}