Pith Number

pith:CQ3S24WI

pith:2016:CQ3S24WIFPCMXBE64BRKE36UOM

not attested not anchored not stored refs pending

The maximum sizes of large scale structures in alternative theories of gravity

Antonio Enea Romano, Constantinos Skordis, Konstantinos F. Dialektopoulos, Sourav Bhattacharya, Theodore N. Tomaras

arxiv:1611.05055 v2 · 2016-11-15 · 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{CQ3S24WIFPCMXBE64BRKE36UOM}

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	2026-05-18T00:40:19.541403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14372d72c82bc4cb849ee062a26fd4732f971f8e9c313fc3f375429a4491db1c

Aliases

arxiv: 1611.05055 · arxiv_version: 1611.05055v2 · doi: 10.48550/arxiv.1611.05055 · pith_short_12: CQ3S24WIFPCM · pith_short_16: CQ3S24WIFPCMXBE6 · pith_short_8: CQ3S24WI

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/CQ3S24WIFPCMXBE64BRKE36UOM \
  | 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: 14372d72c82bc4cb849ee062a26fd4732f971f8e9c313fc3f375429a4491db1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c921905cb24051fbac11a1373c949e0abc41d429002d536b606f8fa8e34801",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-11-15T21:12:03Z",
    "title_canon_sha256": "d64e1df52e640b08372c628226973bb543c27f8a655c5535ab18669a5a401755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05055",
    "kind": "arxiv",
    "version": 2
  }
}