pith. sign in
Pith Number

pith:WAOKGKUA

pith:2015:WAOKGKUAROZHRDEWZJ76HSGSWH
not attested not anchored not stored refs pending

Probing the inner kpc of massive galaxies with strong gravitational lensing

Philip J. Marshall, Roger D. Blandford, Yashar D. Hezaveh

arxiv:1501.01757 v1 · 2015-01-08 · astro-ph.GA · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WAOKGKUAROZHRDEWZJ76HSGSWH}

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 2026-05-18T01:41:13.857406Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b01ca32a808bb2788c96ca7fe3c8d2b1dda8084773a56cfdd01e9dc9eeda1340

Aliases

arxiv: 1501.01757 · arxiv_version: 1501.01757v1 · doi: 10.48550/arxiv.1501.01757 · pith_short_12: WAOKGKUAROZH · pith_short_16: WAOKGKUAROZHRDEW · pith_short_8: WAOKGKUA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WAOKGKUAROZHRDEWZJ76HSGSWH \
  | 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: b01ca32a808bb2788c96ca7fe3c8d2b1dda8084773a56cfdd01e9dc9eeda1340
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c40ba7fe9c6354d277488c847783297895ba1f9aef59d63bb556c85cf93659eb",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2015-01-08T08:07:08Z",
    "title_canon_sha256": "a719b85ea91933e44af7053cc87e81bf90fa3dda74506843017c51c9a06d7999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01757",
    "kind": "arxiv",
    "version": 1
  }
}