Pith Number

pith:Y64ULZ7L

pith:2018:Y64ULZ7LSQXSCMMFKPX7W34OUF

not attested not anchored not stored refs pending

Closed geodesics on positively curved spheres $S^n$ with Finsler metric induced by $(\mathbb{R}P^n,F)$

Hui Liu, Wei Wang

arxiv:1804.06193 v2 · 2018-04-17 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y64ULZ7LSQXSCMMFKPX7W34OUF}

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	2026-05-17T23:44:38.260227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b945e7eb942f21318553effb6f8ea169cf1546a1bd2d98b0ae21b582dc0c68

Aliases

arxiv: 1804.06193 · arxiv_version: 1804.06193v2 · doi: 10.48550/arxiv.1804.06193 · pith_short_12: Y64ULZ7LSQXS · pith_short_16: Y64ULZ7LSQXSCMMF · pith_short_8: Y64ULZ7L

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/Y64ULZ7LSQXSCMMFKPX7W34OUF \
  | 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: c7b945e7eb942f21318553effb6f8ea169cf1546a1bd2d98b0ae21b582dc0c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e54907aa5fc4da0178e17a2a1756ecc95a8104e2d584224d6cfc5ead8fd7e6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-17T12:21:11Z",
    "title_canon_sha256": "c58d3b38ba8451c4b375bc9bf3cdf2fe55b3723f3dda08c9a26c3128c8b0251a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06193",
    "kind": "arxiv",
    "version": 2
  }
}