Pith Number

pith:ZILFWN2N

pith:2016:ZILFWN2NTRNJ4BL24B4KK4TG4W

not attested not anchored not stored refs pending

The observed spatial distribution of matter on scales ranging from 100kpc to 1Gpc is inconsistent with the standard dark-matter-based cosmological models

Pavel Kroupa (Bonn, Prague)

arxiv:1610.03854 v1 · 2016-10-12 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZILFWN2NTRNJ4BL24B4KK4TG4W}

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	2026-05-18T01:02:23.199526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca165b374d9c5a9e057ae078a57266e5b4df34e4f0b9bb445e06342601c8d01a

Aliases

arxiv: 1610.03854 · arxiv_version: 1610.03854v1 · doi: 10.48550/arxiv.1610.03854 · pith_short_12: ZILFWN2NTRNJ · pith_short_16: ZILFWN2NTRNJ4BL2 · pith_short_8: ZILFWN2N

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/ZILFWN2NTRNJ4BL24B4KK4TG4W \
  | 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: ca165b374d9c5a9e057ae078a57266e5b4df34e4f0b9bb445e06342601c8d01a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fcaed9392559e02afff334a039b2af3ad00675e4415275e37ebdd2b23c3eb5",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-10-12T20:00:02Z",
    "title_canon_sha256": "5bcb4316758b3c83c8b91525b88abf2b8b040a39009515f8d0c106461b31037b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03854",
    "kind": "arxiv",
    "version": 1
  }
}