Pith Number

pith:XDZSUMAL

pith:2013:XDZSUMAL64HHFU6RT5BIQ5PF2P

not attested not anchored not stored refs pending

Cosmological anisotropy from non-comoving dark matter and dark energy

Francisco S. N. Lobo, Tiberiu Harko

arxiv:1304.0757 v3 · 2013-04-02 · gr-qc · astro-ph.CO · 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{XDZSUMAL64HHFU6RT5BIQ5PF2P}

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	2026-05-18T03:17:46.479891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f32a300bf70e72d3d19f428875e5d3cbf757ab45ac13a676b735074a8dd325

Aliases

arxiv: 1304.0757 · arxiv_version: 1304.0757v3 · doi: 10.48550/arxiv.1304.0757 · pith_short_12: XDZSUMAL64HH · pith_short_16: XDZSUMAL64HHFU6R · pith_short_8: XDZSUMAL

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/XDZSUMAL64HHFU6RT5BIQ5PF2P \
  | 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: b8f32a300bf70e72d3d19f428875e5d3cbf757ab45ac13a676b735074a8dd325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cfbc8fe7518c66d2588f01b24b92d95890ee830102a26af47b987cfa13ccd0b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-04-02T04:15:58Z",
    "title_canon_sha256": "43b7e7147cd623a2255d597fa1a9dcdec18b81b30a741d01f8e721a48d730cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0757",
    "kind": "arxiv",
    "version": 3
  }
}