pith. sign in
Pith Number

pith:C7QACNRL

pith:2016:C7QACNRL6WKCVF5X27S73AQH3H
not attested not anchored not stored refs pending

The Scales of Gravitational Lensing

Achille Nucita, Francesco De Paolis, Francesco Strafella, Gabriele Ingrosso, Luigi Manni, Mos\`e Giordano

arxiv:1604.06601 v1 · 2016-04-22 · astro-ph.CO · astro-ph.SR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{C7QACNRL6WKCVF5X27S73AQH3H}

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 2026-05-18T01:16:28.660994Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

17e001362bf5942a97b7d7e5fd8207d9d25bc65f788c5955ea0bbc612da80e16

Aliases

arxiv: 1604.06601 · arxiv_version: 1604.06601v1 · doi: 10.48550/arxiv.1604.06601 · pith_short_12: C7QACNRL6WKC · pith_short_16: C7QACNRL6WKCVF5X · pith_short_8: C7QACNRL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/C7QACNRL6WKCVF5X27S73AQH3H \
  | 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: 17e001362bf5942a97b7d7e5fd8207d9d25bc65f788c5955ea0bbc612da80e16
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "904fdcd5ee84f98728ffa08fcdb32b08163c5c263ffcc9a3eae81ce7c59d96bd",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-04-22T10:44:58Z",
    "title_canon_sha256": "eb51ac4b0e5de6f60395b4a1dc607f514f65ab115fe8458124f25c251b9b4626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06601",
    "kind": "arxiv",
    "version": 1
  }
}