Pith Number

pith:XP7JNRVL

pith:2014:XP7JNRVLMDTFNGTDZF4F4WGC2X

not attested not anchored not stored refs pending

Observational Tests of Nonlocal Gravity: Galaxy Rotation Curves and Clusters of Galaxies

B. Mashhoon, S. Rahvar

arxiv:1401.4819 v2 · 2014-01-20 · astro-ph.GA · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XP7JNRVLMDTFNGTDZF4F4WGC2X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

Impact of Rastall gravity on hydrostatic mass of galaxy clusters

Receipt and verification

First computed	2026-05-18T02:52:03.851553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbfe96c6ab60e6569a63c9785e58c2d5dd9916e0e49441988f9694d3c8a8dac4

Aliases

arxiv: 1401.4819 · arxiv_version: 1401.4819v2 · doi: 10.48550/arxiv.1401.4819 · pith_short_12: XP7JNRVLMDTF · pith_short_16: XP7JNRVLMDTFNGTD · pith_short_8: XP7JNRVL

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/XP7JNRVLMDTFNGTDZF4F4WGC2X \
  | 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: bbfe96c6ab60e6569a63c9785e58c2d5dd9916e0e49441988f9694d3c8a8dac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94bb82987f5438b83ddfb075d86ab814c884d05c3764d4677ea396368b0efb2d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2014-01-20T08:27:54Z",
    "title_canon_sha256": "4c448b5219fc13a87a525cf5f3e67f481defd0b3bd5b5cc73fbcf7cc6b02a223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4819",
    "kind": "arxiv",
    "version": 2
  }
}