pith. sign in
Pith Number

pith:HUOIZU4B

pith:2017:HUOIZU4BSLH3T3D3NJ5T55DBEF
not attested not anchored not stored refs pending

Singularities and Conjugate Points in FLRW Spacetimes

Huibert het Lam, Tomislav Prokopec

arxiv:1704.03854 v1 · 2017-04-12 · math-ph · gr-qc · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HUOIZU4BSLH3T3D3NJ5T55DBEF}

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.
Receipt and verification
First computed 2026-05-18T00:33:50.241827Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3d1c8cd38192cfb9ec7b6a7b3ef4612168b86c558aab6644ce5ac83afdfba359

Aliases

arxiv: 1704.03854 · arxiv_version: 1704.03854v1 · doi: 10.48550/arxiv.1704.03854 · pith_short_12: HUOIZU4BSLH3 · pith_short_16: HUOIZU4BSLH3T3D3 · pith_short_8: HUOIZU4B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HUOIZU4BSLH3T3D3NJ5T55DBEF \
  | 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: 3d1c8cd38192cfb9ec7b6a7b3ef4612168b86c558aab6644ce5ac83afdfba359
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5426c49738cdfb1caadb174a39a56a8ea91f030a6eea5da881fe092e2a398fe6",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-04-12T17:44:25Z",
    "title_canon_sha256": "708d890a596b249cbb608d2f0d1d574ffeb48cc760c9f818fe07dd9bcddc9b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03854",
    "kind": "arxiv",
    "version": 1
  }
}