Pith Number

pith:OD2DFIKF

pith:2013:OD2DFIKFUCV5R6WD6ETQM7BYKS

not attested not anchored not stored refs pending

Some remarks on the geometry of Kropina spaces

Ryozo Yoshikawa, Sorin V. Sabau

arxiv:1305.2683 v1 · 2013-05-13 · 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{OD2DFIKFUCV5R6WD6ETQM7BYKS}

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	2026-05-18T00:56:51.974761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f432a145a0abd8fac3f127067c3854b23e2c589ce53dad62c5f7e7af68f84d

Aliases

arxiv: 1305.2683 · arxiv_version: 1305.2683v1 · doi: 10.48550/arxiv.1305.2683 · pith_short_12: OD2DFIKFUCV5 · pith_short_16: OD2DFIKFUCV5R6WD · pith_short_8: OD2DFIKF

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/OD2DFIKFUCV5R6WD6ETQM7BYKS \
  | 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: 70f432a145a0abd8fac3f127067c3854b23e2c589ce53dad62c5f7e7af68f84d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1108dfeecdc2c5e916129e73a20dc79465508d6bf41096054a743e82db5ad2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-13T07:00:36Z",
    "title_canon_sha256": "b74fb23ba1a50a0378ebb4391a1250f93e6329fc2f92890c06af8360473ade31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2683",
    "kind": "arxiv",
    "version": 1
  }
}