Pith Number

pith:2Z6XPCTV

pith:2015:2Z6XPCTVVRA6LL2OYAOQF6WJCL

not attested not anchored not stored refs pending

Cusp Summations and Cusp Relations of Simple Quad Lenses

G. L. Li, W. P. Lin, Zhe Chu

arxiv:1503.00268 v1 · 2015-03-01 · 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{2Z6XPCTVVRA6LL2OYAOQF6WJCL}

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	2026-05-18T02:19:18.540165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67d778a75ac41e5af4ec01d02fac912d9f5766d139853ffdac7b39be883b786

Aliases

arxiv: 1503.00268 · arxiv_version: 1503.00268v1 · doi: 10.48550/arxiv.1503.00268 · pith_short_12: 2Z6XPCTVVRA6 · pith_short_16: 2Z6XPCTVVRA6LL2O · pith_short_8: 2Z6XPCTV

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/2Z6XPCTVVRA6LL2OYAOQF6WJCL \
  | 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: d67d778a75ac41e5af4ec01d02fac912d9f5766d139853ffdac7b39be883b786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b5289bb388f43412eb1fdfc007c76b14c90e9f2d9fcd153b0e1c30c6e6777f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-03-01T13:11:03Z",
    "title_canon_sha256": "a42959261aa7a46e3b55bb7b7fea8c7c218b44a14d71d2841bdcae85e18d2bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00268",
    "kind": "arxiv",
    "version": 1
  }
}