Pith Number

pith:VUYLJOWB

pith:2016:VUYLJOWBUCTECVNIAPDML4ARPP

not attested not anchored not stored refs pending

3D Weak Lensing: Modified Theories of Gravity

Dipak Munshi, Geraint Pratten, Patrick Valageas, Philippe Brax

arxiv:1602.06711 v1 · 2016-02-22 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUYLJOWBUCTECVNIAPDML4ARPP}

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	2026-05-18T01:13:55.325208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad30b4bac1a0a64155a803c6c5f0117be2f5bfbfc67071eacdfe31e32de64f78

Aliases

arxiv: 1602.06711 · arxiv_version: 1602.06711v1 · doi: 10.48550/arxiv.1602.06711 · pith_short_12: VUYLJOWBUCTE · pith_short_16: VUYLJOWBUCTECVNI · pith_short_8: VUYLJOWB

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/VUYLJOWBUCTECVNIAPDML4ARPP \
  | 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: ad30b4bac1a0a64155a803c6c5f0117be2f5bfbfc67071eacdfe31e32de64f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9210eb151cae1d0772b28c970ebee91d4df50dea015093ce608789efdec74691",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-02-22T10:33:19Z",
    "title_canon_sha256": "54cb0098350a52d7a3ebc9dc82c87f63dc6e463d8db4b2206ead3f35c49f1ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06711",
    "kind": "arxiv",
    "version": 1
  }
}