Pith Number

pith:S4AG3VG5

pith:2013:S4AG3VG5FHWU35WSUG6TETSMZ4

not attested not anchored not stored refs pending

Do gravitational lens galaxies have an excess of luminous substructure?

A. M. Nierenberg, D. Oldenburg, T. Treu

arxiv:1309.2642 v1 · 2013-09-10 · 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{S4AG3VG5FHWU35WSUG6TETSMZ4}

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	2026-05-18T01:47:43.530448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97006dd4dd29ed4df6d2a1bd324e4ccf34993c18dc766d1bfbec9bbfbd5dd4c3

Aliases

arxiv: 1309.2642 · arxiv_version: 1309.2642v1 · doi: 10.48550/arxiv.1309.2642 · pith_short_12: S4AG3VG5FHWU · pith_short_16: S4AG3VG5FHWU35WS · pith_short_8: S4AG3VG5

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/S4AG3VG5FHWU35WSUG6TETSMZ4 \
  | 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: 97006dd4dd29ed4df6d2a1bd324e4ccf34993c18dc766d1bfbec9bbfbd5dd4c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9bec99dc74288af6b800928d5b7f4f06690e8209cc55539ceda682d9db57f43",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-09-10T20:00:06Z",
    "title_canon_sha256": "6cdfcaaa1e3bd7f9ffbfc9a8b3558f308bc7aaec1eaff7f5445fb8f800226e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2642",
    "kind": "arxiv",
    "version": 1
  }
}