Pith Number

pith:JOOAV5MQ

pith:1996:JOOAV5MQFXHA7Q3ITAZUX2APRO

not attested not anchored not stored refs pending

Gravitational Instability for a Multifluid Medium in an Expanding Universe

D. Fargion (Phys. Dept. University of Rome "La Sapienza"-INFN)

arxiv:astro-ph/9605151 v1 · 1996-05-24 · astro-ph · 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{JOOAV5MQFXHA7Q3ITAZUX2APRO}

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	2026-06-19T16:13:15.520265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9c0af5902dce0fc36898334be80f8bab43d25e45d37c52043794cb481d6844

Aliases

arxiv: astro-ph/9605151 · arxiv_version: astro-ph/9605151v1 · doi: 10.48550/arxiv.astro-ph/9605151 · pith_short_12: JOOAV5MQFXHA · pith_short_16: JOOAV5MQFXHA7Q3I · pith_short_8: JOOAV5MQ

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/JOOAV5MQFXHA7Q3ITAZUX2APRO \
  | 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: 4b9c0af5902dce0fc36898334be80f8bab43d25e45d37c52043794cb481d6844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785cbed5ca3e8645e94838a093abfea7364796e487f91ea4cfc9b9dc8cd7a4aa",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-05-24T16:39:44Z",
    "title_canon_sha256": "474b1694a94cbffd734c8fd341b26c4293a6d632a08f64f1d94d1dd3f812ce6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9605151",
    "kind": "arxiv",
    "version": 1
  }
}