Pith Number

pith:3X4DQM6X

pith:2009:3X4DQM6XZ567V4XKXVEV4T3HIA

not attested not anchored not stored refs pending

On the Dark Sector Interactions

Qiping Su, Rong-Gen Cai

arxiv:0912.1943 v2 · 2009-12-10 · astro-ph.CO · gr-qc · 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{3X4DQM6XZ567V4XKXVEV4T3HIA}

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

4 papers in Pith

Dark Energy in the DESI Era: A Brief Review of Evidence, Beyond-$\Lambda$CDM Interpretations, and Tensions

Study of dark interactions through strong gravitational lenses

Nonminimally coupled quintessence with sign-switching interaction

Coupled Dark Energy and Dark Matter for DESI: An Effective Guide to the Phantom Divide

Receipt and verification

First computed	2026-07-04T17:29:12.769765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf83833d7cf7dfaf2eabd495e4f674019d8626ba9a44c7c0c4b135d9b65b543

Aliases

arxiv: 0912.1943 · arxiv_version: 0912.1943v2 · doi: 10.48550/arxiv.0912.1943 · pith_short_12: 3X4DQM6XZ567 · pith_short_16: 3X4DQM6XZ567V4XK · pith_short_8: 3X4DQM6X

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/3X4DQM6XZ567V4XKXVEV4T3HIA \
  | 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: ddf83833d7cf7dfaf2eabd495e4f674019d8626ba9a44c7c0c4b135d9b65b543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd8892dc946d3347cb4d7e939c43345360c6509b410fb26d1342a45ebe62759",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-12-10T09:16:29Z",
    "title_canon_sha256": "4abb1d4f35273750e5115febf6cc62432b1d077d28ef18b59ec735bf9b5ef6cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1943",
    "kind": "arxiv",
    "version": 2
  }
}