Pith Number

pith:4N67MLGP

pith:2009:4N67MLGPPPBDHXV4JHGMLNEADQ

not attested not anchored not stored refs pending

A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology

Alejandro Corichi, Parampreet Singh

arxiv:0905.4949 v2 · 2009-05-29 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4N67MLGPPPBDHXV4JHGMLNEADQ}

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

Geodesic completeness of anisotropic cosmologies and the null energy condition

Receipt and verification

First computed	2026-07-04T15:48:38.476287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37df62ccf7bc233debc49ccc5b4801c0c8b4bfdc4db2e0cc03d6d037d80461b

Aliases

arxiv: 0905.4949 · arxiv_version: 0905.4949v2 · doi: 10.48550/arxiv.0905.4949 · pith_short_12: 4N67MLGPPPBD · pith_short_16: 4N67MLGPPPBDHXV4 · pith_short_8: 4N67MLGP

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/4N67MLGPPPBDHXV4JHGMLNEADQ \
  | 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: e37df62ccf7bc233debc49ccc5b4801c0c8b4bfdc4db2e0cc03d6d037d80461b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88c3d0f4cc058845fd2807da3fe57bc36ab3204ffd0e0772776ba00b9ba2196d",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-05-29T19:21:00Z",
    "title_canon_sha256": "1ff6c2f0a6aa8e9577fdc2a62009bb09df139729a549c2422e8a7039975e81de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4949",
    "kind": "arxiv",
    "version": 2
  }
}