Pith Number

pith:VX7W2732

pith:2016:VX7W2732NVAJT3W2GHCZNUHOSA

not attested not anchored not stored refs pending

Cosmological future singularities in interacting dark energy models

Diego Rubiera-Garcia, Diego Saez-Gomez, Jose Beltran Jimenez, Vincenzo Salzano

arxiv:1607.06389 v2 · 2016-07-21 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VX7W2732NVAJT3W2GHCZNUHOSA}

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

1 paper in Pith

Finite scale factor and future singularities

Receipt and verification

First computed	2026-05-18T00:55:57.807393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adff6d7f7a6d4099eeda31c596d0ee900b85fa93a84411b7e319e901910994c8

Aliases

arxiv: 1607.06389 · arxiv_version: 1607.06389v2 · doi: 10.48550/arxiv.1607.06389 · pith_short_12: VX7W2732NVAJ · pith_short_16: VX7W2732NVAJT3W2 · pith_short_8: VX7W2732

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/VX7W2732NVAJT3W2GHCZNUHOSA \
  | 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: adff6d7f7a6d4099eeda31c596d0ee900b85fa93a84411b7e319e901910994c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d201a1eafc535e00cdaec6b78b8da6d8fca05a7ed1711c5ac0896beeb78de2d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-21T16:53:18Z",
    "title_canon_sha256": "2456569f57278930155bce7eed9c046f7c38b73ddc0dedc195850b5c6c41e02f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06389",
    "kind": "arxiv",
    "version": 2
  }
}