Pith Number

pith:IMPB6U7X

pith:2015:IMPB6U7XEXBLTMO7NRDX3DQFB5

not attested not anchored not stored refs pending

Clustering of Galaxies in Brane World Models

Ahmed Farag Ali, Mir Faizal, Mir Hameeda

arxiv:1506.08651 v2 · 2015-06-14 · 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{IMPB6U7XEXBLTMO7NRDX3DQFB5}

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	2026-05-18T01:17:52.790483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431e1f53f725c2b9b1df6c477d8e050f5c421f9419b8f318fd58ac40b9919d9d

Aliases

arxiv: 1506.08651 · arxiv_version: 1506.08651v2 · doi: 10.48550/arxiv.1506.08651 · pith_short_12: IMPB6U7XEXBL · pith_short_16: IMPB6U7XEXBLTMO7 · pith_short_8: IMPB6U7X

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/IMPB6U7XEXBLTMO7NRDX3DQFB5 \
  | 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: 431e1f53f725c2b9b1df6c477d8e050f5c421f9419b8f318fd58ac40b9919d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc2f6bfc19feda2c0cd1b7b0a5cee2c91efeae9a96f2bbf6ed5bd795e7f8af7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-14T05:14:28Z",
    "title_canon_sha256": "80b785042c2acf56c8438da49065d141233f265669da02e5c4c07748d4f1a2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08651",
    "kind": "arxiv",
    "version": 2
  }
}