Pith Number

pith:IQMZEX4Q

pith:2016:IQMZEX4QKC5S2SI6DI32XPYWCR

not attested not anchored not stored refs pending

Projection effects in the strong lensing study of subhaloes

Carlos S. Frenk, Liang Gao, Qiao Wang, Ran Li, Shaun Cole

arxiv:1612.06227 v1 · 2016-12-19 · 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{IQMZEX4QKC5S2SI6DI32XPYWCR}

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	2026-05-18T00:29:51.931030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4419925f9050bb2d491e1a37abbf161468b7fdadb28940023736c68448da73fd

Aliases

arxiv: 1612.06227 · arxiv_version: 1612.06227v1 · doi: 10.48550/arxiv.1612.06227 · pith_short_12: IQMZEX4QKC5S · pith_short_16: IQMZEX4QKC5S2SI6 · pith_short_8: IQMZEX4Q

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/IQMZEX4QKC5S2SI6DI32XPYWCR \
  | 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: 4419925f9050bb2d491e1a37abbf161468b7fdadb28940023736c68448da73fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ba1516f65bfa7e426e3f82f4a46c63b2d850555a70083bbc7603e18fb01037",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-19T15:30:09Z",
    "title_canon_sha256": "f333b3e6d7a8c754e49b05ec6056b05f78cdcc6052a4d917d9f294f6c8a3ee0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06227",
    "kind": "arxiv",
    "version": 1
  }
}