Pith Number

pith:I6Y6ZCQF

pith:2011:I6Y6ZCQFZZHJXT4SDIALTIPKAA

not attested not anchored not stored refs pending

Exact cosmological solutions of models with an interacting dark sector

A. B. Pavan, E. Abdalla, Elisa G. M. Ferreira, J. C. C. de Souza, Sandro M. R. Micheletti

arxiv:1111.6526 v4 · 2011-11-28 · gr-qc · 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{I6Y6ZCQFZZHJXT4SDIALTIPKAA}

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	2026-05-18T03:40:16.339243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b1ec8a05ce4e9bcf921a00b9a1ea003d96f1dcc593a07782abe7f1ae9e1c7f

Aliases

arxiv: 1111.6526 · arxiv_version: 1111.6526v4 · doi: 10.48550/arxiv.1111.6526 · pith_short_12: I6Y6ZCQFZZHJ · pith_short_16: I6Y6ZCQFZZHJXT4S · pith_short_8: I6Y6ZCQF

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/I6Y6ZCQFZZHJXT4SDIALTIPKAA \
  | 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: 47b1ec8a05ce4e9bcf921a00b9a1ea003d96f1dcc593a07782abe7f1ae9e1c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d28ef52ca126b15348faafc38d479b92188c0995d18af9478f75b32c551fa4e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-28T17:27:13Z",
    "title_canon_sha256": "3d5aa7eca0d497726b9ee4652d9eec0c90af26b4b81c38b6f1420e8037569486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6526",
    "kind": "arxiv",
    "version": 4
  }
}