Pith Number

pith:4X5TOW5T

pith:2009:4X5TOW5TBI3IZQOHP2MC7K5IDD

not attested not anchored not stored refs pending

Invisible Major Mergers: Why the Definition of a Galaxy Merger Ratio Matters

Kyle R. Stewart

arxiv:0902.2214 v1 · 2009-02-13 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4X5TOW5TBI3IZQOHP2MC7K5IDD}

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	2026-07-04T15:37:49.526705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fb375bb30a368cc1c77e982faba818d5c100c49465819c4e7f1e5578f71750

Aliases

arxiv: 0902.2214 · arxiv_version: 0902.2214v1 · doi: 10.48550/arxiv.0902.2214 · pith_short_12: 4X5TOW5TBI3I · pith_short_16: 4X5TOW5TBI3IZQOH · pith_short_8: 4X5TOW5T

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/4X5TOW5TBI3IZQOHP2MC7K5IDD \
  | 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: e5fb375bb30a368cc1c77e982faba818d5c100c49465819c4e7f1e5578f71750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a8f9aed97f8a370eddde618875471a1f37970c662184043f3c8b9548a24fb7",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-02-13T20:51:28Z",
    "title_canon_sha256": "2cc7b20ea64c5cab067b89c797a4b5f4850243c8708773a1e02c12376c0525ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.2214",
    "kind": "arxiv",
    "version": 1
  }
}