Pith Number

pith:KWOEFCAX

pith:2001:KWOEFCAXXCWUXMZ6DA4YJDW4Z6

not attested not anchored not stored refs pending

Cosmological Perturbations with Multiple Fluids and Fields

H. Noh, J. Hwang

arxiv:astro-ph/0103244 v3 · 2001-03-15 · astro-ph · gr-qc · 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{KWOEFCAXXCWUXMZ6DA4YJDW4Z6}

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	2026-07-04T17:29:38.886817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559c428817b8ad4bb33e1839848edccf9e546e5557297a7e0206ac9f1aeedd53

Aliases

arxiv: astro-ph/0103244 · arxiv_version: astro-ph/0103244v3 · doi: 10.48550/arxiv.astro-ph/0103244 · pith_short_12: KWOEFCAXXCWU · pith_short_16: KWOEFCAXXCWUXMZ6 · pith_short_8: KWOEFCAX

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/KWOEFCAXXCWUXMZ6DA4YJDW4Z6 \
  | 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: 559c428817b8ad4bb33e1839848edccf9e546e5557297a7e0206ac9f1aeedd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798f49afafcbe69467ccd726e3cd89e11799b6462d3c139fa991f8e85e193644",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-03-15T15:55:22Z",
    "title_canon_sha256": "7637e699272e7c507df8ded7e0096067943ca4ff6cf67166b32425c0e323eab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0103244",
    "kind": "arxiv",
    "version": 3
  }
}