Pith Number

pith:LXPY2B6T

pith:2018:LXPY2B6TDC2PCD65JZBORVEIAS

not attested not anchored not stored refs pending

Magnification Bias of Distant Galaxies in the Hubble Frontier Fields: Testing Wave vs. Particle Dark Matter Predictions

Enoch Leung, Hsi-Yu Schive, Jeremy Lim, Jose M. Diego, Rogier Windhorst, Tom Broadhurst, Tzihong Chiueh

arxiv:1806.07905 v2 · 2018-06-20 · astro-ph.GA · 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{LXPY2B6TDC2PCD65JZBORVEIAS}

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	2026-05-18T00:08:40.756412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ddf8d07d318b4f10fdd4e42e8d488049b0063e27fb21e66e498e4918a622e9b

Aliases

arxiv: 1806.07905 · arxiv_version: 1806.07905v2 · doi: 10.48550/arxiv.1806.07905 · pith_short_12: LXPY2B6TDC2P · pith_short_16: LXPY2B6TDC2PCD65 · pith_short_8: LXPY2B6T

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/LXPY2B6TDC2PCD65JZBORVEIAS \
  | 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: 5ddf8d07d318b4f10fdd4e42e8d488049b0063e27fb21e66e498e4918a622e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5397c587482883391d243e38e689d31450edf40d526dbb027584e5437d92f4e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-06-20T18:03:31Z",
    "title_canon_sha256": "a2a56f0a94fc15e208eaae644d330e64f3113ba6dbaa23c05215d747fe8d3c46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07905",
    "kind": "arxiv",
    "version": 2
  }
}