pith. sign in
Pith Number

pith:JQSNJ4OH

pith:2009:JQSNJ4OH6CXWLGMLQU57ZMLPUD
not attested not anchored not stored refs pending

When Should We Treat Galaxies as Isolated?

(2) CfA), Chung-Pei Ma (1), Dusan Keres (2), Eliot Quataert (1) ((1) Berkeley, Philip F. Hopkins (1)

arxiv:0909.3306 v1 · 2009-09-17 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JQSNJ4OH6CXWLGMLQU57ZMLPUD}

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 2026-05-18T02:11:46.693586Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4c24d4f1c7f0af65998b853bfcb16fa0e5a9a7b047d88422ef3f37f11d133bc4

Aliases

arxiv: 0909.3306 · arxiv_version: 0909.3306v1 · doi: 10.48550/arxiv.0909.3306 · pith_short_12: JQSNJ4OH6CXW · pith_short_16: JQSNJ4OH6CXWLGML · pith_short_8: JQSNJ4OH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JQSNJ4OH6CXWLGMLQU57ZMLPUD \
  | 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: 4c24d4f1c7f0af65998b853bfcb16fa0e5a9a7b047d88422ef3f37f11d133bc4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4960fbbe09902b34022c88c12b524629edd41bd6a5ffecb965bffc41d5420a67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-17T20:02:12Z",
    "title_canon_sha256": "920ced49f2bfcec62d734cd189747e32fed248361600ef7c2dea6de9e268cf3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3306",
    "kind": "arxiv",
    "version": 1
  }
}