Pith Number

pith:3WNAU5IZ

pith:1997:3WNAU5IZUAQ7EFHMXZOZ22HLXD

not attested not anchored not stored refs pending

Post-Newtonian Lagrangian Perturbation Approach to the Large-Scale Structure Formation

Masahiro Takada, Toshifumi Futamase

arxiv:astro-ph/9711344 v2 · 1997-11-28 · 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{3WNAU5IZUAQ7EFHMXZOZ22HLXD}

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	2026-05-18T00:47:43.699678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9a0a7519a021f214ecbe5d9d68ebb8d2f00efbcb36a2223cf8f964053f0e9b

Aliases

arxiv: astro-ph/9711344 · arxiv_version: astro-ph/9711344v2 · doi: 10.48550/arxiv.astro-ph/9711344 · pith_short_12: 3WNAU5IZUAQ7 · pith_short_16: 3WNAU5IZUAQ7EFHM · pith_short_8: 3WNAU5IZ

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/3WNAU5IZUAQ7EFHMXZOZ22HLXD \
  | 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: dd9a0a7519a021f214ecbe5d9d68ebb8d2f00efbcb36a2223cf8f964053f0e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfbdeb7adbf790a1e5c019aeb33b0addfabaa1dab4f65926d1873a57874b6fe8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-11-28T03:23:59Z",
    "title_canon_sha256": "aa676032b1a5f8ec9c071b238efc3d17c7f08714f17f93120f753a67d4b65608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9711344",
    "kind": "arxiv",
    "version": 2
  }
}