pith. sign in
Pith Number

pith:HTN43SEX

pith:2017:HTN43SEXKRZKXIVNWS4M73KW2M
not attested not anchored not stored refs pending

Probing the cosmic distance duality relation using time delay lenses

Akshay Rana, Amitabha Mukherjee, Deepak Jain, R. F. L. Holanda, Shobhit Mahajan

arxiv:1705.04549 v2 · 2017-05-12 · astro-ph.CO · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HTN43SEXKRZKXIVNWS4M73KW2M}

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 2026-05-18T00:40:03.616739Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3cdbcdc8975472aba2adb4b8cfed56d32974649f28d615e7450f2d41ce2f21b7

Aliases

arxiv: 1705.04549 · arxiv_version: 1705.04549v2 · doi: 10.48550/arxiv.1705.04549 · pith_short_12: HTN43SEXKRZK · pith_short_16: HTN43SEXKRZKXIVN · pith_short_8: HTN43SEX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HTN43SEXKRZKXIVNWS4M73KW2M \
  | 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: 3cdbcdc8975472aba2adb4b8cfed56d32974649f28d615e7450f2d41ce2f21b7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3daa0d6fbafe20f66d4d01b22d6e9718d4d378d9e8300453bb44b8ec0a3eb9e8",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-05-12T13:04:28Z",
    "title_canon_sha256": "626c5eb1335eef42e9b111aa0a5a79239d720f531046e2deda1a59194d0d0536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04549",
    "kind": "arxiv",
    "version": 2
  }
}