Pith Number

pith:AKZF74IU

pith:2016:AKZF74IUMZULWPGSLTW7TEOLZ4

not attested not anchored not stored refs pending

No need for dark matter in galaxy clusters within Galileon theory

David F. Mota, Mariusz P. Dabrowski, Salvatore Capozziello, Vincenzo Salzano

arxiv:1607.02606 v2 · 2016-07-09 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKZF74IUMZULWPGSLTW7TEOLZ4}

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	2026-05-18T01:00:52.779983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b25ff1146668bb3cd25cedf991cbcf2c40d82fad1a09da9804f86e04ec0b52

Aliases

arxiv: 1607.02606 · arxiv_version: 1607.02606v2 · doi: 10.48550/arxiv.1607.02606 · pith_short_12: AKZF74IUMZUL · pith_short_16: AKZF74IUMZULWPGS · pith_short_8: AKZF74IU

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/AKZF74IUMZULWPGSLTW7TEOLZ4 \
  | 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: 02b25ff1146668bb3cd25cedf991cbcf2c40d82fad1a09da9804f86e04ec0b52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bfe7264b3d65b417c3e7997c24e193dcffb9680e3321a0b718bb007683f26c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-07-09T13:02:37Z",
    "title_canon_sha256": "e0c85504068a950f64c9b368ef0f7ef39660c6e74162308248d6f013053a01c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02606",
    "kind": "arxiv",
    "version": 2
  }
}