Pith Number

pith:HRC2RQDB

pith:2017:HRC2RQDBPBGIQI44ZZEBA76IWI

not attested not anchored not stored refs pending

On Geodesic Completeness for Riemannian Metrics on Smooth Probability Densities

Klas Modin, Martin Bauer, Sarang Joshi

arxiv:1702.08870 v2 · 2017-02-28 · math.AP · 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{HRC2RQDBPBGIQI44ZZEBA76IWI}

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	2026-05-18T00:10:24.536175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c45a8c061784c88239cce48107fc8b21ace7c39b2a10bbdb87f607155788e3a

Aliases

arxiv: 1702.08870 · arxiv_version: 1702.08870v2 · doi: 10.48550/arxiv.1702.08870 · pith_short_12: HRC2RQDBPBGI · pith_short_16: HRC2RQDBPBGIQI44 · pith_short_8: HRC2RQDB

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/HRC2RQDBPBGIQI44ZZEBA76IWI \
  | 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: 3c45a8c061784c88239cce48107fc8b21ace7c39b2a10bbdb87f607155788e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48bfcadf7cde85cc3fa60921dd00daca65bda9504b96b2c387eb11d5fc43f22b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-28T17:21:37Z",
    "title_canon_sha256": "e4eaf5b6c1469a7fa782634394bfc98a3c6cac48823a61830b12002ba2bfff94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08870",
    "kind": "arxiv",
    "version": 2
  }
}