Pith Number

pith:3TK42ZXQ

pith:2018:3TK42ZXQC7GYZKBQIAMRP6PO6D

not attested not anchored not stored refs pending

Geodesics on strong Kropina manifolds

Kazuhiro Shibuya, Ryozo Yoshikawa, Sorin V. Sabau

arxiv:1808.02972 v1 · 2018-08-09 · 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{3TK42ZXQC7GYZKBQIAMRP6PO6D}

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	2026-05-18T00:08:30.551403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd5cd66f017cd8ca830401917f9eef0e5eedfab6fdd894f5e675a995bad431f

Aliases

arxiv: 1808.02972 · arxiv_version: 1808.02972v1 · doi: 10.48550/arxiv.1808.02972 · pith_short_12: 3TK42ZXQC7GY · pith_short_16: 3TK42ZXQC7GYZKBQ · pith_short_8: 3TK42ZXQ

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/3TK42ZXQC7GYZKBQIAMRP6PO6D \
  | 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: dcd5cd66f017cd8ca830401917f9eef0e5eedfab6fdd894f5e675a995bad431f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662ff56780c1d144ddd6fcc84f991700583988a16552ccc8c81b07b0952d6f66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-09T00:17:34Z",
    "title_canon_sha256": "c792223eab52cc95320cff5eeda338b971cbd675970053926a7432c4c3bab2f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02972",
    "kind": "arxiv",
    "version": 1
  }
}