Pith Number

pith:ZFXY6FFT

pith:2011:ZFXY6FFTC4EWATX2VBDR676P3N

not attested not anchored not stored refs pending

Running coupling: Does the coupling between dark energy and dark matter change sign during the cosmological evolution?

Xin Zhang, Yun-He Li

arxiv:1103.3185 v3 · 2011-03-16 · astro-ph.CO · gr-qc · hep-ph · 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{ZFXY6FFTC4EWATX2VBDR676P3N}

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

2 papers in Pith

Generalizing the CPL Parametrization through Dark Sector Interaction

Receipt and verification

First computed	2026-05-18T02:22:18.810922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c96f8f14b31709604efaa8471f7fcfdb7531d2e212a5fa39e22910502156d836

Aliases

arxiv: 1103.3185 · arxiv_version: 1103.3185v3 · doi: 10.48550/arxiv.1103.3185 · pith_short_12: ZFXY6FFTC4EW · pith_short_16: ZFXY6FFTC4EWATX2 · pith_short_8: ZFXY6FFT

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/ZFXY6FFTC4EWATX2VBDR676P3N \
  | 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: c96f8f14b31709604efaa8471f7fcfdb7531d2e212a5fa39e22910502156d836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05c2c5bd1152cd13292310eb4e3ccf6bcf0535d7c3e5a4a2cdd88ca3190e2c81",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-03-16T14:48:39Z",
    "title_canon_sha256": "f06bc8cfd9367ace5a40cf789f3c7f26542d4432312a9da02ed4838601f35ad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3185",
    "kind": "arxiv",
    "version": 3
  }
}