Pith Number

pith:ZCXBI5CW

pith:2019:ZCXBI5CWHIC3YPQNH2EXTAUWYU

not attested not anchored not stored refs pending

Modified Theory of Gravity and Clustering of Multi-Component System of Galaxies

Behnam Pourhassan, C. P. Masroor, Mir Faizal, Mir Hameeda, P. K. Suresh, Rizwan ul Haq Ansari

arxiv:1911.01739 v1 · 2019-11-05 · 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{ZCXBI5CWHIC3YPQNH2EXTAUWYU}

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	2026-07-05T00:17:21.150054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ae1474563a05bc3e0d3e89798296c53ab568141ec67b714b407af7809da9be

Aliases

arxiv: 1911.01739 · arxiv_version: 1911.01739v1 · doi: 10.48550/arxiv.1911.01739 · pith_short_12: ZCXBI5CWHIC3 · pith_short_16: ZCXBI5CWHIC3YPQN · pith_short_8: ZCXBI5CW

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/ZCXBI5CWHIC3YPQNH2EXTAUWYU \
  | 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: c8ae1474563a05bc3e0d3e89798296c53ab568141ec67b714b407af7809da9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf2668c192e5618448576c0b146ffcc1b4d238e8bde7a41ad3c0ec49ceb2a4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-11-05T12:17:34Z",
    "title_canon_sha256": "f02f09545744de3406bf35bd764c6d3d8c204cc191af54f62fc121f6a168ddef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.01739",
    "kind": "arxiv",
    "version": 1
  }
}