pith. sign in
Pith Number

pith:ZTRY7FB7

pith:2016:ZTRY7FB7TDKAP7C5B6UPX26LFM
not attested not anchored not stored refs pending

Microlensing due to both gravitation and refraction as a further probe of universe evolution

E. Tonni, F. Barbero, G. Cavalleri, S. Covino

arxiv:1610.05504 v1 · 2016-10-18 · astro-ph.IM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZTRY7FB7TDKAP7C5B6UPX26LFM}

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 2026-05-18T01:01:59.179145Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cce38f943f98d407fc5d0fa8fbebcb2b23de974fac15a3b2d240d6f6ece2436d

Aliases

arxiv: 1610.05504 · arxiv_version: 1610.05504v1 · doi: 10.48550/arxiv.1610.05504 · pith_short_12: ZTRY7FB7TDKA · pith_short_16: ZTRY7FB7TDKAP7C5 · pith_short_8: ZTRY7FB7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZTRY7FB7TDKAP7C5B6UPX26LFM \
  | 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: cce38f943f98d407fc5d0fa8fbebcb2b23de974fac15a3b2d240d6f6ece2436d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "41f9529e1b9c53f06dcb3fc1cdc5bc989a3bedc79baf671adba1ba74510e5016",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2016-10-18T09:43:37Z",
    "title_canon_sha256": "0d53c9936fcdad4207736e4fdfd4ce9e2e1a62cca3d635c788072d4dc208b5ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05504",
    "kind": "arxiv",
    "version": 1
  }
}