Pith Number

pith:W4M63QE7

pith:2009:W4M63QE7D3QFRTUPF4BGO5IHJH

not attested not anchored not stored refs pending

Applying the Analytic Theory of Colliding Ring Galaxies

Curtis Struck (Iowa State)

arxiv:0912.4474 v1 · 2009-12-22 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4M63QE7D3QFRTUPF4BGO5IHJH}

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	2026-05-18T02:10:14.505939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b719edc09f1ee058ce8f2f0267750749c908036595b958673e0c3c17f9acc5c8

Aliases

arxiv: 0912.4474 · arxiv_version: 0912.4474v1 · doi: 10.48550/arxiv.0912.4474 · pith_short_12: W4M63QE7D3QF · pith_short_16: W4M63QE7D3QFRTUP · pith_short_8: W4M63QE7

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/W4M63QE7D3QFRTUPF4BGO5IHJH \
  | 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: b719edc09f1ee058ce8f2f0267750749c908036595b958673e0c3c17f9acc5c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73bdfa019d377ff76db69e59d38c8aed0a5e36b913fe19a8b9f2e29cbe4a78d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-22T18:04:52Z",
    "title_canon_sha256": "2e1e6de5465f2ebe24a694bf7a9c37cca0ac41debcfc08a5944fa9ec6bfd347f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4474",
    "kind": "arxiv",
    "version": 1
  }
}