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Pith Number

pith:HG52TWM7

pith:2015:HG52TWM7I6LFZU7IQW3X2INOLP
not attested not anchored not stored refs pending

Distortion of the luminosity function of high-redshift galaxies by gravitational lensing

(2) Harvard ITC), Abraham Loeb (2) ((1) Ecole Normale Superieure, Anastasia Fialkov (1), Paris

arxiv:1502.03141 v3 · 2015-02-10 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HG52TWM7I6LFZU7IQW3X2INOLP}

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 2026-05-18T01:37:44.458372Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

39bba9d99f47965cd3e885b77d21ae5bc63c0250e0133012f7cdb2b02863eb89

Aliases

arxiv: 1502.03141 · arxiv_version: 1502.03141v3 · doi: 10.48550/arxiv.1502.03141 · pith_short_12: HG52TWM7I6LF · pith_short_16: HG52TWM7I6LFZU7I · pith_short_8: HG52TWM7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HG52TWM7I6LFZU7IQW3X2INOLP \
  | 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: 39bba9d99f47965cd3e885b77d21ae5bc63c0250e0133012f7cdb2b02863eb89
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d5472f7754d454b6608ee94617229008436cfdfec0c8bda235fd5917ed40a911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-02-10T22:33:28Z",
    "title_canon_sha256": "370d14ec6667ebb3bdb4ec9fa79f2787e884132366750722a12b364fcbd426aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03141",
    "kind": "arxiv",
    "version": 3
  }
}