Pith Number

pith:7QFBZ6BR

pith:2016:7QFBZ6BRTCQANX4GYOM6BD7ANV

not attested not anchored not stored refs pending

Observational constraints on cosmological future singularities

Diego Saez-Gomez, Jose Beltran Jimenez, Ruth Lazkoz, Vincenzo Salzano

arxiv:1602.06211 v2 · 2016-02-18 · 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{7QFBZ6BRTCQANX4GYOM6BD7ANV}

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	2026-05-18T00:54:40.719540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0a1cf83198a006df86c399e08fe06d75c3d395ad3f5e4d9f224e23b08eda11

Aliases

arxiv: 1602.06211 · arxiv_version: 1602.06211v2 · doi: 10.48550/arxiv.1602.06211 · pith_short_12: 7QFBZ6BRTCQA · pith_short_16: 7QFBZ6BRTCQANX4G · pith_short_8: 7QFBZ6BR

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/7QFBZ6BRTCQANX4GYOM6BD7ANV \
  | 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: fc0a1cf83198a006df86c399e08fe06d75c3d395ad3f5e4d9f224e23b08eda11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3488e049d04e4019696963e12f402607a7d86207a1abc93d280ac173bbe565d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-18T19:24:53Z",
    "title_canon_sha256": "9114d81fb8ccde0967e68cd06ab3629cde81f41ad45e466fda2df1b7e1f19fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06211",
    "kind": "arxiv",
    "version": 2
  }
}