Pith Number

pith:L45WBOXY

pith:2012:L45WBOXYAVWOV3Z73QJ7B7LSN5

not attested not anchored not stored refs pending

Second order solutions of cosmological perturbation in the matter dominated era

Hyerim Noh, Jai-chan Hwang, Jinn-Ouk Gong

arxiv:1204.3345 v1 · 2012-04-16 · 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{L45WBOXYAVWOV3Z73QJ7B7LSN5}

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	2026-05-18T01:57:52.325197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3b60baf8056ceaef3fdc13f0fd726f50558bca5ead9bf4f3f2e2b0968a6423

Aliases

arxiv: 1204.3345 · arxiv_version: 1204.3345v1 · doi: 10.48550/arxiv.1204.3345 · pith_short_12: L45WBOXYAVWO · pith_short_16: L45WBOXYAVWOV3Z7 · pith_short_8: L45WBOXY

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/L45WBOXYAVWOV3Z73QJ7B7LSN5 \
  | 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: 5f3b60baf8056ceaef3fdc13f0fd726f50558bca5ead9bf4f3f2e2b0968a6423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08664f904dc827d4164142b48e586a1d15efd36d108cec18701f03a77b56702a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-04-16T02:11:35Z",
    "title_canon_sha256": "1019df673a72ca286404a6b44705b4528c4f16d0090d8057d3998079759c483d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3345",
    "kind": "arxiv",
    "version": 1
  }
}