Pith Number

pith:ZPAEZPXW

pith:2017:ZPAEZPXWR4OS2YIMUIK2AXF5ED

not attested not anchored not stored refs pending

Probing the nature of dark matter by forward modeling flux ratios in strong gravitational lenses

Anna Nierenberg, Charles R. Keeton, Daniel Gilman, Simon Birrer, Tommaso Treu

arxiv:1712.04945 v3 · 2017-12-13 · 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{ZPAEZPXWR4OS2YIMUIK2AXF5ED}

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	2026-05-18T00:07:11.231896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc04cbef68f1d2d610ca215a05cbd20c6011822117389c292cb98c2ff0d10b1

Aliases

arxiv: 1712.04945 · arxiv_version: 1712.04945v3 · doi: 10.48550/arxiv.1712.04945 · pith_short_12: ZPAEZPXWR4OS · pith_short_16: ZPAEZPXWR4OS2YIM · pith_short_8: ZPAEZPXW

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/ZPAEZPXWR4OS2YIMUIK2AXF5ED \
  | 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: cbc04cbef68f1d2d610ca215a05cbd20c6011822117389c292cb98c2ff0d10b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94feb33286dded6de43e0b4ef901e4ba2939c447c97a1dcd51d2eee2e84f2704",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-12-13T19:00:02Z",
    "title_canon_sha256": "10e737767869d16a2f612aa68a7fb289702332a59155b2c517ff8ae1daa919dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04945",
    "kind": "arxiv",
    "version": 3
  }
}