Pith Number

pith:UEFZ3CBW

pith:2018:UEFZ3CBWMKTVX5WCTB6X2FCR5X

not attested not anchored not stored refs pending

Cosmological singularities from high matter density without global topological assumptions

Martin Lesourd

arxiv:1809.02071 v6 · 2018-09-05 · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UEFZ3CBWMKTVX5WCTB6X2FCR5X}

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	2026-07-05T00:00:12.682194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a10b9d883662a75bf6c2987d7d1451edda9fc7438d40ac545ed7155aeabed4bc

Aliases

arxiv: 1809.02071 · arxiv_version: 1809.02071v6 · doi: 10.48550/arxiv.1809.02071 · pith_short_12: UEFZ3CBWMKTV · pith_short_16: UEFZ3CBWMKTVX5WC · pith_short_8: UEFZ3CBW

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/UEFZ3CBWMKTVX5WCTB6X2FCR5X \
  | 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: a10b9d883662a75bf6c2987d7d1451edda9fc7438d40ac545ed7155aeabed4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca8ff80056bb427e46eccd0ace0454a1bbee3250bf0501d3bb744edc6c81052",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-09-05T10:56:31Z",
    "title_canon_sha256": "827a2a9cd966e4db957d4dee6ca78589ecc0c52b44254a50f21804a7487f0410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02071",
    "kind": "arxiv",
    "version": 6
  }
}