Pith Number

pith:7UFSWRLJ

pith:2014:7UFSWRLJDIPBRDZ2CWPAONV7YK

not attested not anchored not stored refs pending

Inequalities and bilipschitz conditions for triangular ratio metric

Matti Vuorinen, Parisa Hariri, Xiaohui Zhang

arxiv:1411.2747 v4 · 2014-11-11 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UFSWRLJDIPBRDZ2CWPAONV7YK}

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	2026-05-18T00:25:06.061648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0b2b45691a1e188f3a159e0736bfc28a9327abb2908391cc08b83f7aa834b2

Aliases

arxiv: 1411.2747 · arxiv_version: 1411.2747v4 · doi: 10.48550/arxiv.1411.2747 · pith_short_12: 7UFSWRLJDIPB · pith_short_16: 7UFSWRLJDIPBRDZ2 · pith_short_8: 7UFSWRLJ

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/7UFSWRLJDIPBRDZ2CWPAONV7YK \
  | 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: fd0b2b45691a1e188f3a159e0736bfc28a9327abb2908391cc08b83f7aa834b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97db6b1d9177a326d87ec7199125e2805df7801713541d11f525a61bb5e708b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-11T10:00:31Z",
    "title_canon_sha256": "d2833b84964f32efc61fe52d43a2ec0e2545edacbbc93d67f53f28f483ee288a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2747",
    "kind": "arxiv",
    "version": 4
  }
}