Pith Number

pith:4LYAVXCJ

pith:2004:4LYAVXCJWICSBU2AAUU3GDNR6U

not attested not anchored not stored refs pending

Density-Wave Spiral Theories in the 1960s. I

I.I. Pasha

arxiv:astro-ph/0406142 v1 · 2004-06-06 · 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{4LYAVXCJWICSBU2AAUU3GDNR6U}

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

1 paper in Pith

Galactokinetics II: Spiral structure

Receipt and verification

First computed	2026-07-04T14:49:16.602630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f00adc49b20520d3400529b30db1f5050b617cae64fc71c1e4399501afe50f

Aliases

arxiv: astro-ph/0406142 · arxiv_version: astro-ph/0406142v1 · doi: 10.48550/arxiv.astro-ph/0406142 · pith_short_12: 4LYAVXCJWICS · pith_short_16: 4LYAVXCJWICSBU2A · pith_short_8: 4LYAVXCJ

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/4LYAVXCJWICSBU2AAUU3GDNR6U \
  | 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: e2f00adc49b20520d3400529b30db1f5050b617cae64fc71c1e4399501afe50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9a98a93f406e6f36881157a7683c21c48bd04a2c9767d1b621ecdb6fc06c0e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-06-06T18:38:37Z",
    "title_canon_sha256": "3cd3dfeb7b95e0caab5d446701e195b08f857536585d2af354c7bd6a4b66e5d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0406142",
    "kind": "arxiv",
    "version": 1
  }
}