Pith Number

pith:VECGDUYO

pith:2021:VECGDUYO4I4M7UB6I3USKZ2LT3

not attested not anchored not stored refs pending

Galaxy-galaxy strong lens perturbations: line-of-sight haloes versus lens subhaloes

Amy Etherington, Andrew Robertson, Aristeidis Amvrosiadis, Carlos S. Frenk, James Nightingale, Nicola C. Amorisco, Qiuhan He, Ran Li, Richard Massey, Shaun Cole, Xiaoyue Cao

arxiv:2110.04512 v2 · 2021-10-09 · 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{VECGDUYO4I4M7UB6I3USKZ2LT3}

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	2026-07-05T05:00:38.673270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90461d30ee238cfd03e46e925674b9ecdb0799f791fe2edbe2b4560e0fa8a47

Aliases

arxiv: 2110.04512 · arxiv_version: 2110.04512v2 · doi: 10.48550/arxiv.2110.04512 · pith_short_12: VECGDUYO4I4M · pith_short_16: VECGDUYO4I4M7UB6 · pith_short_8: VECGDUYO

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/VECGDUYO4I4M7UB6I3USKZ2LT3 \
  | 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: a90461d30ee238cfd03e46e925674b9ecdb0799f791fe2edbe2b4560e0fa8a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30617c93953b6e25b7709accb4270f778f807412e6cf70dc9e15ab1436e5f1c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-10-09T09:01:30Z",
    "title_canon_sha256": "08446a48fa9ea687ad87618998044dd188596e27676df55240397bae8bf26ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.04512",
    "kind": "arxiv",
    "version": 2
  }
}