Pith Number

pith:52SYJOJH

pith:2008:52SYJOJHN7N2IPNGGUCKQAK7YA

not attested not anchored not stored refs pending

A Concise Introduction to Perturbation Theory in Cosmology

David R. Matravers, Karim A. Malik

arxiv:0804.3276 v2 · 2008-04-21 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52SYJOJHN7N2IPNGGUCKQAK7YA}

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.

Cited by

1 paper in Pith

From inflation to hot big bang -- a tutorial on cosmological perturbations

Receipt and verification

First computed	2026-07-04T15:44:47.806627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eea584b9276fdba43da63504a8015fc02b21d962fefefdeecc8ba185b16e62ed

Aliases

arxiv: 0804.3276 · arxiv_version: 0804.3276v2 · doi: 10.48550/arxiv.0804.3276 · pith_short_12: 52SYJOJHN7N2 · pith_short_16: 52SYJOJHN7N2IPNG · pith_short_8: 52SYJOJH

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/52SYJOJHN7N2IPNGGUCKQAK7YA \
  | 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: eea584b9276fdba43da63504a8015fc02b21d962fefefdeecc8ba185b16e62ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa33a3c4ac869c8ff8015b0f2d00be397eeaec9219305092606372bf726c1424",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-04-21T13:05:48Z",
    "title_canon_sha256": "0d3e528f9946698f4e67d8e88e5380158e85db354e48c1370ede62e0453f32b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3276",
    "kind": "arxiv",
    "version": 2
  }
}