Pith Number

pith:75HBCUWE

pith:1994:75HBCUWEAFCRRZEF5SG5KQHZGF

not attested not anchored not stored refs pending

Perturbative Lagrangian Approach to Gravitational Instability

E. Hivon, F.R. Bouchet, R. Juszkiewicz, S. Colombi

arxiv:astro-ph/9406013 v2 · 1994-06-06 · 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{75HBCUWEAFCRRZEF5SG5KQHZGF}

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

4 papers in Pith

Perturbation-theory informed integrators for cosmological simulations

Post-collapse Lagrangian perturbation theory in three dimensions

Emergence of Complex Web Structures

Galaxy Populations in the IllustrisTNG Caustic Skeleton

Receipt and verification

First computed	2026-05-18T04:21:41.241478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4e1152c4014518e485ec8dd540f9317a77cdb6c668b307d49c95c19d9bac0f

Aliases

arxiv: astro-ph/9406013 · arxiv_version: astro-ph/9406013v2 · doi: 10.48550/arxiv.astro-ph/9406013 · pith_short_12: 75HBCUWEAFCR · pith_short_16: 75HBCUWEAFCRRZEF · pith_short_8: 75HBCUWE

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/75HBCUWEAFCRRZEF5SG5KQHZGF \
  | 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: ff4e1152c4014518e485ec8dd540f9317a77cdb6c668b307d49c95c19d9bac0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3a23fe3ec132e4cdafca41a1163f08d26f1d99d8fee036603a95b990e2700b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1994-06-06T10:30:24Z",
    "title_canon_sha256": "9d53c60dbe0f09c9ce9a8d2ccccb7821cc2336b042316d81a79c4d2ca9c96f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9406013",
    "kind": "arxiv",
    "version": 2
  }
}