Pith Number

pith:7SGWSQ3U

pith:2018:7SGWSQ3UQXIDTT6CNDVDGE25LW

not attested not anchored not stored refs pending

Analytic Study of Cosmological Perturbations in a Unified Model of Dark Matter and Dark Energy with a Sharp Transition

Eduardo M. de Morais, L\'eo G. Medeiros, Robert H. Brandenberger, Rodrigo R. Cuzinatto

arxiv:1802.01232 v2 · 2018-02-05 · 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{7SGWSQ3UQXIDTT6CNDVDGE25LW}

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	2026-05-18T00:06:40.725699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc8d69437485d039cfc268ea33135d5db3512dd9283caa51b1c7f1c84d31bfca

Aliases

arxiv: 1802.01232 · arxiv_version: 1802.01232v2 · doi: 10.48550/arxiv.1802.01232 · pith_short_12: 7SGWSQ3UQXID · pith_short_16: 7SGWSQ3UQXIDTT6C · pith_short_8: 7SGWSQ3U

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/7SGWSQ3UQXIDTT6CNDVDGE25LW \
  | 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: fc8d69437485d039cfc268ea33135d5db3512dd9283caa51b1c7f1c84d31bfca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b519d1bcaaae56f3c8c571da2d68f2f21e36ffe147e51036bb5535fe76d05bd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-02-05T01:46:58Z",
    "title_canon_sha256": "126941c7dc706993e03072e8d632c1b7f0b430713b2795c749173ef44ad2af91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01232",
    "kind": "arxiv",
    "version": 2
  }
}