Pith Number

pith:6PTJO3XH

pith:1994:6PTJO3XHFUWKCJSJ6QK46DE7CE

not attested not anchored not stored refs pending

The Principle of Least Action and Clustering in Cosmology

James Binney, Mikel Susperregi

arxiv:astro-ph/9405050 v1 · 1994-05-24 · 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{6PTJO3XHFUWKCJSJ6QK46DE7CE}

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	2026-05-18T01:40:26.133481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e6976ee72d2ca12649f415cf0c9f11105a4d1787b17d6dc127e06f75f8016c

Aliases

arxiv: astro-ph/9405050 · arxiv_version: astro-ph/9405050v1 · doi: 10.48550/arxiv.astro-ph/9405050 · pith_short_12: 6PTJO3XHFUWK · pith_short_16: 6PTJO3XHFUWKCJSJ · pith_short_8: 6PTJO3XH

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/6PTJO3XHFUWKCJSJ6QK46DE7CE \
  | 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: f3e6976ee72d2ca12649f415cf0c9f11105a4d1787b17d6dc127e06f75f8016c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838d611a768f2a051617ef5a5c18457a6303e7ac3e0cd231c56a1fa70dea893e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1994-05-24T10:39:32Z",
    "title_canon_sha256": "bf47f6bfe7b0cd152c9a72b2bfe2ad365ecbc39adcf05390985107a5841615bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9405050",
    "kind": "arxiv",
    "version": 1
  }
}