Pith Number

pith:V3NMLIAI

pith:2021:V3NMLIAISZ7IN5CO4OPCQV5F4G

not attested not anchored not stored refs pending

The growth of fluctuations in Chaplygin gas cosmologies: A nonlinear Jeans scale for unified dark matter

Abdelrahman Abdullah, Ali Ellithi, Amr El-Zant

arxiv:2108.03260 v2 · 2021-08-06 · 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{V3NMLIAISZ7IN5CO4OPCQV5F4G}

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.

Cited by

1 paper in Pith

Clustered unified dark sector cosmology: Background evolution and linear perturbations in light of observations

Receipt and verification

First computed	2026-07-05T05:05:00.506144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aedac5a008967e86f44ee39e2857a5e1a37da90aa63b6cd0e98b9874f846d934

Aliases

arxiv: 2108.03260 · arxiv_version: 2108.03260v2 · doi: 10.48550/arxiv.2108.03260 · pith_short_12: V3NMLIAISZ7I · pith_short_16: V3NMLIAISZ7IN5CO · pith_short_8: V3NMLIAI

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/V3NMLIAISZ7IN5CO4OPCQV5F4G \
  | 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: aedac5a008967e86f44ee39e2857a5e1a37da90aa63b6cd0e98b9874f846d934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7e3be61ee2d3039152aebeb4a5382f920a5a1a8beb731d9d2bab817c47f627",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-08-06T18:11:56Z",
    "title_canon_sha256": "bdcece07ba4906eecf80fe179d0e83cc1e45244fdde974634b1d10e9f3c0b54a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.03260",
    "kind": "arxiv",
    "version": 2
  }
}