Pith Number

pith:KSMVGG5J

pith:2017:KSMVGG5JCEBIY6KPXNUPMDEC7R

not attested not anchored not stored refs pending

Weak gravitational lensing of finite beams

Jean-Philippe Uzan, Julien Larena, Pierre Fleury

arxiv:1706.09383 v2 · 2017-06-28 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSMVGG5JCEBIY6KPXNUPMDEC7R}

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	2026-05-18T00:31:12.395244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5499531ba911028c794fbb68f60c82fc5a8f9e388e53e1bd1a0012ea23375070

Aliases

arxiv: 1706.09383 · arxiv_version: 1706.09383v2 · doi: 10.48550/arxiv.1706.09383 · pith_short_12: KSMVGG5JCEBI · pith_short_16: KSMVGG5JCEBIY6KP · pith_short_8: KSMVGG5J

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KSMVGG5JCEBIY6KPXNUPMDEC7R \
  | 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: 5499531ba911028c794fbb68f60c82fc5a8f9e388e53e1bd1a0012ea23375070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e4b3ad8f82a8b7cce5d6afcc622189a3d0787269cb6d2d1559ae28cfef24478",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-06-28T17:50:32Z",
    "title_canon_sha256": "264943da3f6529a6ae235e4d7faf7ad755358fccc1fa86f2e007ee4ee3876f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09383",
    "kind": "arxiv",
    "version": 2
  }
}