Pith Number

pith:2CBW545T

pith:2021:2CBW545TPJJDF2ZQRJ4XLD5FAW

not attested not anchored not stored refs pending

Testing the Strong Equivalence Principle. II. Relating the External Field Effect in Galaxy Rotation Curves to the Large-Scale Structure of the Universe

Federico Lelli, Harry Desmond, James M. Schombert, Kyu-Hyun Chae, Stacy S. McGaugh

arxiv:2109.04745 v1 · 2021-09-10 · astro-ph.GA · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CBW545TPJJDF2ZQRJ4XLD5FAW}

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	2026-07-05T03:32:17.494381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0836ef3b37a5232eb308a79758fa505ab8c500eabd2a37730ba4c77699cc315

Aliases

arxiv: 2109.04745 · arxiv_version: 2109.04745v1 · doi: 10.48550/arxiv.2109.04745 · pith_short_12: 2CBW545TPJJD · pith_short_16: 2CBW545TPJJDF2ZQ · pith_short_8: 2CBW545T

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/2CBW545TPJJDF2ZQRJ4XLD5FAW \
  | 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: d0836ef3b37a5232eb308a79758fa505ab8c500eabd2a37730ba4c77699cc315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7365199de0bdb73c2fcf9310223e143deb708d410e1a9bffa268793a09a4a6e5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-09-10T09:17:13Z",
    "title_canon_sha256": "fe66472b85f477ec80e6a479dd12624d11e8f7e503e4b07fda95c9ee451d363a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04745",
    "kind": "arxiv",
    "version": 1
  }
}