Pith Number

pith:TJ7WOXRV

pith:1993:TJ7WOXRVKJNRPLWL6BVVEGYGAF

not attested not anchored not stored refs pending

The Least Action Principle And The Spin Of Galaxies In The Local Group

A.M.Dunn, R.Laflamme

arxiv:astro-ph/9302007 v3 · 1993-02-10 · 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{TJ7WOXRVKJNRPLWL6BVVEGYGAF}

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	2026-05-18T01:40:26.762577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a7f675e35525b17aecbf06b521b0601712401876b5867686b5f8ddd4437667d

Aliases

arxiv: astro-ph/9302007 · arxiv_version: astro-ph/9302007v3 · doi: 10.48550/arxiv.astro-ph/9302007 · pith_short_12: TJ7WOXRVKJNR · pith_short_16: TJ7WOXRVKJNRPLWL · pith_short_8: TJ7WOXRV

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/TJ7WOXRVKJNRPLWL6BVVEGYGAF \
  | 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: 9a7f675e35525b17aecbf06b521b0601712401876b5867686b5f8ddd4437667d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "046a47f2bcf1516bb42e36a7649436e994eb7c0ca679309bd4945de1c9e1f35c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-02-10T11:00:00Z",
    "title_canon_sha256": "0b92461a331da994e66356f95ab57fb3506ddbccc0086f7f03b6af2a71e9d875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9302007",
    "kind": "arxiv",
    "version": 3
  }
}