Pith Number

pith:DR7WPP4F

pith:1996:DR7WPP4FPWY5HXJAE3XVQ4DJ3L

not attested not anchored not stored refs pending

Temporal optimization of Lagrangian perturbation schemes

A.L. Melott, G. Karakatsanis, T. Buchert

arxiv:astro-ph/9607161 v3 · 1996-07-30 · 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{DR7WPP4FPWY5HXJAE3XVQ4DJ3L}

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	2026-05-18T04:21:40.604005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c7f67bf857db1d3dd2026ef587069dafaa625e4bf06d31577a25ac9748f4224

Aliases

arxiv: astro-ph/9607161 · arxiv_version: astro-ph/9607161v3 · doi: 10.48550/arxiv.astro-ph/9607161 · pith_short_12: DR7WPP4FPWY5 · pith_short_16: DR7WPP4FPWY5HXJA · pith_short_8: DR7WPP4F

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/DR7WPP4FPWY5HXJAE3XVQ4DJ3L \
  | 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: 1c7f67bf857db1d3dd2026ef587069dafaa625e4bf06d31577a25ac9748f4224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef519cb0bc4292cf08c43c17846c08a2719fa5b0cc57e07d7729ec59d21b2b42",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-07-30T13:30:46Z",
    "title_canon_sha256": "19e5f4a50cf94d297faf05fdf550c058a79e2d5b9f96dae725a158ce725e90ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9607161",
    "kind": "arxiv",
    "version": 3
  }
}