Pith Number

pith:P5W7ISTY

pith:2012:P5W7ISTYVN3LNKYIB3WGGIJA3O

not attested not anchored not stored refs pending

Testing the dark energy with gravitational lensing statistics

2), (2) University of Naples "Federico II", 3), (3) INFN), Giovanni Covone (2, Shuo Cao (1, Zong-Hong Zhu (1) ((1) Beijing Normal University

arxiv:1206.4948 v2 · 2012-06-21 · 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{P5W7ISTYVN3LNKYIB3WGGIJA3O}

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	2026-05-18T01:56:49.490464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6df44a78ab76b6ab080eec632120db80dcd8dc9c88badf3736af42b6586b90

Aliases

arxiv: 1206.4948 · arxiv_version: 1206.4948v2 · doi: 10.48550/arxiv.1206.4948 · pith_short_12: P5W7ISTYVN3L · pith_short_16: P5W7ISTYVN3LNKYI · pith_short_8: P5W7ISTY

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/P5W7ISTYVN3LNKYIB3WGGIJA3O \
  | 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: 7f6df44a78ab76b6ab080eec632120db80dcd8dc9c88badf3736af42b6586b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0962d530e30b7a5ec53739175e5c996b05bf8518f92ec587c4377bc227b845e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-21T17:23:59Z",
    "title_canon_sha256": "a0f37ff2f19e0f35b572cef9daadf40bef34cdbac94e0c560f2f3064a9111556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4948",
    "kind": "arxiv",
    "version": 2
  }
}