Pith Number

pith:LWUJEACG

pith:2005:LWUJEACGY65BGH5LJJAE75BFQK

not attested not anchored not stored refs pending

Flat Cosmology with Coupled Matter and Dark Energies

A.-M.M. Abdel-Rahman, (Department of Physics, Faculty of Science, Ihab F. Riad, Khartoum, Sudan), University of Khartoum

arxiv:astro-ph/0512612 v2 · 2005-12-26 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWUJEACGY65BGH5LJJAE75BFQK}

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	2026-05-18T04:16:21.802083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da8920046c7ba131fab4a404ff42582b47c515e49634d8b7815c6ee82dd1ab1

Aliases

arxiv: astro-ph/0512612 · arxiv_version: astro-ph/0512612v2 · doi: 10.48550/arxiv.astro-ph/0512612 · pith_short_12: LWUJEACGY65B · pith_short_16: LWUJEACGY65BGH5L · pith_short_8: LWUJEACG

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/LWUJEACGY65BGH5LJJAE75BFQK \
  | 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: 5da8920046c7ba131fab4a404ff42582b47c515e49634d8b7815c6ee82dd1ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f002f5b4f715db3c25347d617ef7305b2be92ec26d0c43bab90baaf081ef5c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-12-26T15:52:46Z",
    "title_canon_sha256": "b5bec6856c69e72eb15a0770a8c03dde8d28f4c3774e9511c7108f6d06242170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0512612",
    "kind": "arxiv",
    "version": 2
  }
}