Pith Number

pith:XDZY6JIT

pith:2017:XDZY6JIT4XT4ZZZPRDBWW3OHAP

not attested not anchored not stored refs pending

The impact of $\Lambda$CDM substructure and baryon-dark matter transition on the image positions of quad galaxy lenses

Liliya L. R. Williams, Matthew R. Gomer

arxiv:1712.07665 v2 · 2017-12-20 · 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{XDZY6JIT4XT4ZZZPRDBWW3OHAP}

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	2026-05-18T00:22:49.101012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f38f2513e5e7cce72f88c36b6dc703e938ca205286c812a62fe0e651cc99e4

Aliases

arxiv: 1712.07665 · arxiv_version: 1712.07665v2 · doi: 10.48550/arxiv.1712.07665 · pith_short_12: XDZY6JIT4XT4 · pith_short_16: XDZY6JIT4XT4ZZZP · pith_short_8: XDZY6JIT

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/XDZY6JIT4XT4ZZZPRDBWW3OHAP \
  | 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: b8f38f2513e5e7cce72f88c36b6dc703e938ca205286c812a62fe0e651cc99e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a75f63ba6414157ba81982b03b64f842c209547be7555bad5cae8d159695dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2017-12-20T19:00:05Z",
    "title_canon_sha256": "35a8bdd70ef70b478a7928a6ae5260e0d4e93087f8e30afef12ce5973d132733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07665",
    "kind": "arxiv",
    "version": 2
  }
}