Pith Number

pith:65N7QXRE

pith:2014:65N7QXRED5A6AVFN62EQ43IZ5U

not attested not anchored not stored refs pending

On the fundamental group of a complete globally hyperbolic Lorentzian manifold with a lower bound for the curvature tensor

Jun-ichi Mukuno

arxiv:1409.0957 v1 · 2014-09-03 · 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{65N7QXRED5A6AVFN62EQ43IZ5U}

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	2026-05-18T02:43:44.686283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f75bf85e241f41e054adf6890e6d19ed2bde86818170f48d0a8f87fc2d86ab59

Aliases

arxiv: 1409.0957 · arxiv_version: 1409.0957v1 · doi: 10.48550/arxiv.1409.0957 · pith_short_12: 65N7QXRED5A6 · pith_short_16: 65N7QXRED5A6AVFN · pith_short_8: 65N7QXRE

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/65N7QXRED5A6AVFN62EQ43IZ5U \
  | 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: f75bf85e241f41e054adf6890e6d19ed2bde86818170f48d0a8f87fc2d86ab59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc793535007331e25674a09052f491a8547b441f70621c5bdcf58e1945898648",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-03T05:55:16Z",
    "title_canon_sha256": "dc86384186a38bd0f42d9723c694288fdb465449287fc3e3ee33472b96fdd8c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0957",
    "kind": "arxiv",
    "version": 1
  }
}