Pith Number

pith:ENQWG5IY

pith:2018:ENQWG5IYBYZBOKYOCT6A5VRWNP

not attested not anchored not stored refs pending

Generalizations of Triangle Inequalities to Spherical and Hyperbolic Geometry

Jacob Naranjo, Karina Cho

arxiv:1805.11442 v1 · 2018-05-26 · math.HO · 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{ENQWG5IYBYZBOKYOCT6A5VRWNP}

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	2026-05-18T00:14:42.544407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23616375180e32172b0e14fc0ed6366bfa6af36d02dc27f413ad5eb645e824dd

Aliases

arxiv: 1805.11442 · arxiv_version: 1805.11442v1 · doi: 10.48550/arxiv.1805.11442 · pith_short_12: ENQWG5IYBYZB · pith_short_16: ENQWG5IYBYZBOKYO · pith_short_8: ENQWG5IY

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/ENQWG5IYBYZBOKYOCT6A5VRWNP \
  | 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: 23616375180e32172b0e14fc0ed6366bfa6af36d02dc27f413ad5eb645e824dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec719635eb78ab18b1d39677b48c12f53019c9b325b734395366820524f2bfcb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-05-26T23:23:25Z",
    "title_canon_sha256": "4579dbfc0e465574a0a17b6208bd3026458ebcc9d4913e55c153e9aaa2db3a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11442",
    "kind": "arxiv",
    "version": 1
  }
}