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Pith Number

pith:LWIQBCX4

pith:2015:LWIQBCX4MV4GR5MW5NTDGIM4RX
not attested not anchored not stored refs pending

Dynamical dark energy models with singularities in the view of the forthcoming results of the growth observations

Tomasz Denkiewicz

arxiv:1511.04708 v2 · 2015-11-15 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LWIQBCX4MV4GR5MW5NTDGIM4RX}

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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 2026-05-18T01:26:30.986410Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5d91008afc657868f596eb6633219c8dfa2c5d58c16d3bbb24d45eaaea2aea4c

Aliases

arxiv: 1511.04708 · arxiv_version: 1511.04708v2 · doi: 10.48550/arxiv.1511.04708 · pith_short_12: LWIQBCX4MV4G · pith_short_16: LWIQBCX4MV4GR5MW · pith_short_8: LWIQBCX4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LWIQBCX4MV4GR5MW5NTDGIM4RX \
  | 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: 5d91008afc657868f596eb6633219c8dfa2c5d58c16d3bbb24d45eaaea2aea4c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a7c5bcc285dd9f237e3dee3685cf40d2ab596f7728aa7abc50e8913d417cad4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-11-15T15:04:11Z",
    "title_canon_sha256": "011996a8607959b4ad620833e53c31237a07a8e52c426e42d7ff3776e08a2fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04708",
    "kind": "arxiv",
    "version": 2
  }
}