Pith Number

pith:DQLPUZUX

pith:2011:DQLPUZUX7YSZPYXOJLIJFEYSVM

not attested not anchored not stored refs pending

Extended LCDM: generalized non-minimal coupling for dark matter fluids

Dario Bettoni, Lorenzo Sindoni, Stefano Liberati

arxiv:1108.1728 v2 · 2011-08-08 · 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{DQLPUZUX7YSZPYXOJLIJFEYSVM}

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	2026-05-18T04:08:44.493178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c16fa6697fe2597e2ee4ad0929312ab32b172b25f8b6cf7e97653c06a3a53b7

Aliases

arxiv: 1108.1728 · arxiv_version: 1108.1728v2 · doi: 10.48550/arxiv.1108.1728 · pith_short_12: DQLPUZUX7YSZ · pith_short_16: DQLPUZUX7YSZPYXO · pith_short_8: DQLPUZUX

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/DQLPUZUX7YSZPYXOJLIJFEYSVM \
  | 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: 1c16fa6697fe2597e2ee4ad0929312ab32b172b25f8b6cf7e97653c06a3a53b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd26704a8d4257eac7c5b174963a6d6c9f8d8f3b266ea124a240e4212f58ed30",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-08T15:05:05Z",
    "title_canon_sha256": "48700b282dd2322bb1343055f96d5130f37ca881df39341e584c5dab3f8c7ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1728",
    "kind": "arxiv",
    "version": 2
  }
}