Pith Number

pith:O5NNK475

pith:1993:O5NNK475Y3Q4TZEY537XPDGRTF

not attested not anchored not stored refs pending

The Quasi-Linear Evolution of the Density Field in Models of Gravitational Instability

B. Banerjee, F. Bernardeau, S. M. Chitre, T. P. Singh

arxiv:astro-ph/9311055 v1 · 1993-11-22 · astro-ph · hep-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{O5NNK475Y3Q4TZEY537XPDGRTF}

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	2026-05-18T01:40:26.411246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

775ad573fdc6e1c9e498eeff778cd199456ed9bb643c689e7c471621f21700a3

Aliases

arxiv: astro-ph/9311055 · arxiv_version: astro-ph/9311055v1 · doi: 10.48550/arxiv.astro-ph/9311055 · pith_short_12: O5NNK475Y3Q4 · pith_short_16: O5NNK475Y3Q4TZEY · pith_short_8: O5NNK475

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/O5NNK475Y3Q4TZEY537XPDGRTF \
  | 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: 775ad573fdc6e1c9e498eeff778cd199456ed9bb643c689e7c471621f21700a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7f49c4d22ded5c69f4a2ff37c440d5a54ae4f22c12b62cb2679f9eddb1984b6",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-11-22T13:34:00Z",
    "title_canon_sha256": "1eccb726d808aede5364de3247d6144b34f92417a774078e90c6ebe9185cf374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9311055",
    "kind": "arxiv",
    "version": 1
  }
}