Pith Number

pith:U3HIGD3D

pith:2004:U3HIGD3D24NK4XK54KDNZKTCNJ

not attested not anchored not stored refs pending

Weak lensing in scalar-tensor theories of gravity

Alain Riazuelo (IAP), Carlo Schimd (IAP & Univ. Parma - INFN Parma), Jean-Philippe Uzan (LPT Orsay & IAP)

arxiv:astro-ph/0412120 v1 · 2004-12-06 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3HIGD3D24NK4XK54KDNZKTCNJ}

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	2026-07-04T16:45:21.464170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ce830f63d71aae5d5de286dcaa626a7a82ea508ed68a9c50641b5523e98f6d

Aliases

arxiv: astro-ph/0412120 · arxiv_version: astro-ph/0412120v1 · doi: 10.48550/arxiv.astro-ph/0412120 · pith_short_12: U3HIGD3D24NK · pith_short_16: U3HIGD3D24NK4XK5 · pith_short_8: U3HIGD3D

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/U3HIGD3D24NK4XK54KDNZKTCNJ \
  | 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: a6ce830f63d71aae5d5de286dcaa626a7a82ea508ed68a9c50641b5523e98f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43311d0842595fac8e4541289fc559936e2ab308f21c97b815d94b5d1450938",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-12-06T16:24:37Z",
    "title_canon_sha256": "27616c2de39e5d1cfbadde01da309a86b6c4a079eb815a8414e60f073408a06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0412120",
    "kind": "arxiv",
    "version": 1
  }
}