Pith Number

pith:SSWCQ4R5

pith:1994:SSWCQ4R5CNYPWY2W42HYAZECCY

not attested not anchored not stored refs pending

Eulerian Perturbation Theory in Non-Flat Universes: Second-Order Approximation

Francesco Lucchin, Paolo Catelan, Sabino Matarrese & Lauro Moscardini

arxiv:astro-ph/9411066 v3 · 1994-11-16 · 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{SSWCQ4R5CNYPWY2W42HYAZECCY}

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	2026-05-18T01:40:24.144310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94ac28723d1370fb6356e68f806482162e5466e8290497447c851dade3d2488f

Aliases

arxiv: astro-ph/9411066 · arxiv_version: astro-ph/9411066v3 · doi: 10.48550/arxiv.astro-ph/9411066 · pith_short_12: SSWCQ4R5CNYP · pith_short_16: SSWCQ4R5CNYPWY2W · pith_short_8: SSWCQ4R5

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/SSWCQ4R5CNYPWY2W42HYAZECCY \
  | 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: 94ac28723d1370fb6356e68f806482162e5466e8290497447c851dade3d2488f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ad2ee5c13dc1ef8f151bc8a9b9bc5e12063ac9755b437313dd40414943a3f71",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1994-11-16T19:35:34Z",
    "title_canon_sha256": "4447ad6716bd2d5d0fadbc6deaedeebd91c8bfc85189eb0a5651fdeb3c440d99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9411066",
    "kind": "arxiv",
    "version": 3
  }
}