Pith Number

pith:QLQAFIVD

pith:2007:QLQAFIVDUEAJHPKFIM5NL5QWSG

not attested not anchored not stored refs pending

Signature of the interaction between dark energy and dark matter in galaxy clusters

B. Wang, E. Abdalla, L. R. Abramo, L. Sodre

arxiv:0710.1198 v2 · 2007-10-05 · 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{QLQAFIVDUEAJHPKFIM5NL5QWSG}

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

Testing the Dark Universe through the Layzer-Irvine Equation

Receipt and verification

First computed	2026-07-04T15:38:45.270461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82e002a2a3a10093bd45433ad5f61691bc94d40d3c2a461d9208ed6c168287be

Aliases

arxiv: 0710.1198 · arxiv_version: 0710.1198v2 · doi: 10.48550/arxiv.0710.1198 · pith_short_12: QLQAFIVDUEAJ · pith_short_16: QLQAFIVDUEAJHPKF · pith_short_8: QLQAFIVD

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/QLQAFIVDUEAJHPKFIM5NL5QWSG \
  | 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: 82e002a2a3a10093bd45433ad5f61691bc94d40d3c2a461d9208ed6c168287be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af831df5f9dec95532832935f439dca657fbd3240508be2718ec648dbf29cb17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-10-05T11:51:43Z",
    "title_canon_sha256": "edb1193ae1659a26c4d6d0854e4c7275720e4d77d980cf96cd6722eb0eaaf270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1198",
    "kind": "arxiv",
    "version": 2
  }
}