Pith Number

pith:3FTXVRNG

pith:2018:3FTXVRNGNRYW3JB4WYWHNGJR5O

not attested not anchored not stored refs pending

The growth of the density fluctuations in the scale-invariant theory: one more challenge for dark matter

Andre Maeder, Vesselin G. Gueorguiev

arxiv:1811.03495 v3 · 2018-11-08 · 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{3FTXVRNGNRYW3JB4WYWHNGJR5O}

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	2026-07-05T00:47:55.607761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9677ac5a66c716da43cb62c769931eb95c5f0bdb4e63ed78cc32e74e9e71e29

Aliases

arxiv: 1811.03495 · arxiv_version: 1811.03495v3 · doi: 10.48550/arxiv.1811.03495 · pith_short_12: 3FTXVRNGNRYW · pith_short_16: 3FTXVRNGNRYW3JB4 · pith_short_8: 3FTXVRNG

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/3FTXVRNGNRYW3JB4WYWHNGJR5O \
  | 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: d9677ac5a66c716da43cb62c769931eb95c5f0bdb4e63ed78cc32e74e9e71e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f009b9dc5149a071e60ed3e5dd144686cc9f9a906280f17a63f5fb66f88c150",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-11-08T15:36:53Z",
    "title_canon_sha256": "9e3aa57bf56efcbbf31860f22bb702c782f88e5b53ab62ef95565bae5d7202a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03495",
    "kind": "arxiv",
    "version": 3
  }
}