Pith Number

pith:D6U3X7A3

pith:2017:D6U3X7A3GERQSZ7ZVA7564UNOG

not attested not anchored not stored refs pending

Clustering of Galaxies with f(R) gravity

Behnam Pourhassan, Mir Faizal, Mir Hameeda, Salvatore Capozziello, Sudhaker Upadhyay, Vincenzo Salzano

arxiv:1711.06630 v1 · 2017-11-15 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6U3X7A3GERQSZ7ZVA7564UNOG}

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	2026-05-18T00:25:33.507677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fa9bbfc1b31230967f9a83fdf728d71aba4d897ea71f0ca75b6aca30620611e

Aliases

arxiv: 1711.06630 · arxiv_version: 1711.06630v1 · doi: 10.48550/arxiv.1711.06630 · pith_short_12: D6U3X7A3GERQ · pith_short_16: D6U3X7A3GERQSZ7Z · pith_short_8: D6U3X7A3

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/D6U3X7A3GERQSZ7ZVA7564UNOG \
  | 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: 1fa9bbfc1b31230967f9a83fdf728d71aba4d897ea71f0ca75b6aca30620611e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc31f314b85aadd3bd8a49b62367eb4a972439b8fde553024670e52be0fcac0d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-11-15T14:39:04Z",
    "title_canon_sha256": "cb455e5aa44da6d238aa0cc087f93484dc257b8ffba6c6a6d2f4e00d7faa286a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06630",
    "kind": "arxiv",
    "version": 1
  }
}