Pith Number

pith:XWZWLJDQ

pith:2019:XWZWLJDQ5LL2CGSOQPYI7VCMK4

not attested not anchored not stored refs pending

Testing Emergent Gravity on Galaxy Cluster Scales

Andrius Tamosiunas, David Bacon, Kazuya Koyama, Robert C. Nichol

arxiv:1901.05505 v3 · 2019-01-16 · 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{XWZWLJDQ5LL2CGSOQPYI7VCMK4}

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	2026-05-17T23:44:47.692144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdb365a470ead7a11a4e83f08fd44c570958eefa87b9e88de29e36bc3d421061

Aliases

arxiv: 1901.05505 · arxiv_version: 1901.05505v3 · doi: 10.48550/arxiv.1901.05505 · pith_short_12: XWZWLJDQ5LL2 · pith_short_16: XWZWLJDQ5LL2CGSO · pith_short_8: XWZWLJDQ

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/XWZWLJDQ5LL2CGSOQPYI7VCMK4 \
  | 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: bdb365a470ead7a11a4e83f08fd44c570958eefa87b9e88de29e36bc3d421061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58375929542bf4de803bd55eb6c45743e125dd02826603f78b41494dc0453542",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-01-16T19:30:15Z",
    "title_canon_sha256": "9be9e23f9ef63907a5f4899df9923453b482e3dc3e82815d222369588ae94d40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05505",
    "kind": "arxiv",
    "version": 3
  }
}