Pith Number

pith:J2ACJX36

pith:2013:J2ACJX36JD57GXZN6NXHMG6Q6F

not attested not anchored not stored refs pending

How well can cold-dark-matter substructures account for the observed lensing flux-ratio anomalies?

Carlos Frenk, D.D. Xu, Dominique Sluse, Jie Wang, Liang Gao, Peter Schneider, Shude Mao

arxiv:1307.4220 v2 · 2013-07-16 · 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{J2ACJX36JD57GXZN6NXHMG6Q6F}

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	2026-05-18T02:39:55.751120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8024df7e48fbf35f2df36e761bd0f16327bab1c55aa9879ad119aa51047091

Aliases

arxiv: 1307.4220 · arxiv_version: 1307.4220v2 · doi: 10.48550/arxiv.1307.4220 · pith_short_12: J2ACJX36JD57 · pith_short_16: J2ACJX36JD57GXZN · pith_short_8: J2ACJX36

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/J2ACJX36JD57GXZN6NXHMG6Q6F \
  | 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: 4e8024df7e48fbf35f2df36e761bd0f16327bab1c55aa9879ad119aa51047091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94bf6100ae51b740fac0733cb35304c855f3da452f24b9d867c6c48e286407a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-07-16T09:39:43Z",
    "title_canon_sha256": "25079a58b10981de346cc0cd1393f61ffe395e12f9b8563385538d27c2cc92ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4220",
    "kind": "arxiv",
    "version": 2
  }
}