Pith Number

pith:BIABCZGC

pith:2018:BIABCZGC2VA46IW6TQARRAICUU

not attested not anchored not stored refs pending

Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies

Parampreet Singh, Sahil Saini

arxiv:1812.08937 v2 · 2018-12-21 · 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{BIABCZGC2VA46IW6TQARRAICUU}

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

Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology

Receipt and verification

First computed	2026-05-17T23:45:20.413212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a001164c2d541cf22de9c01188102a538f2eeafbc5ec68b171c7c8004b7cf05

Aliases

arxiv: 1812.08937 · arxiv_version: 1812.08937v2 · doi: 10.48550/arxiv.1812.08937 · pith_short_12: BIABCZGC2VA4 · pith_short_16: BIABCZGC2VA46IW6 · pith_short_8: BIABCZGC

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/BIABCZGC2VA46IW6TQARRAICUU \
  | 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: 0a001164c2d541cf22de9c01188102a538f2eeafbc5ec68b171c7c8004b7cf05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410a9ac351707df8d1aa99a046cc119942f714224d0546c22f690ecbe0941962",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-12-21T04:15:35Z",
    "title_canon_sha256": "9d05aa7909ce3058d83cfcc9681f4332a46ecdbf8b9694d019ba0e061b3dee82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08937",
    "kind": "arxiv",
    "version": 2
  }
}