Pith Number

pith:Y3BZV6SA

pith:2018:Y3BZV6SAFJ7V5QNWU2KLJ5MLGZ

not attested not anchored not stored refs pending

Strong lensing constraints on modified gravity models

De-Chang Dai, Dejan Stojkovic, Glenn D. Starkman

arxiv:1812.04765 v1 · 2018-12-12 · 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{Y3BZV6SAFJ7V5QNWU2KLJ5MLGZ}

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	2026-05-17T23:56:44.613354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c39afa402a7f5ec1b6a694b4f58b365a2373cc208ba9644d0c6c91bb250187

Aliases

arxiv: 1812.04765 · arxiv_version: 1812.04765v1 · doi: 10.48550/arxiv.1812.04765 · pith_short_12: Y3BZV6SAFJ7V · pith_short_16: Y3BZV6SAFJ7V5QNW · pith_short_8: Y3BZV6SA

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/Y3BZV6SAFJ7V5QNWU2KLJ5MLGZ \
  | 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: c6c39afa402a7f5ec1b6a694b4f58b365a2373cc208ba9644d0c6c91bb250187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d00a11d37c386fdfd4cd77d5a66b8ffe4074fc44c73e9080d2b55630044db9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-12-12T01:28:02Z",
    "title_canon_sha256": "8fb1e3f61797d8b429a8104b9b19cd661f10a47d375267a81eac138038111584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04765",
    "kind": "arxiv",
    "version": 1
  }
}