Pith Number

pith:O5JRYVAY

pith:2018:O5JRYVAYDKWQE5EJBHS5MUKMXH

not attested not anchored not stored refs pending

Spherical Triangle Algorithm: A Fast Oracle for Convex Hull Membership Queries

Bahman Kalantari, Yikai Zhang

arxiv:1810.07346 v3 · 2018-10-17 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5JRYVAYDKWQE5EJBHS5MUKMXH}

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	2026-07-05T03:11:21.864604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77531c54181aad02748909e5d6514cb9c0afc0db3759e17546f3476b02e49bad

Aliases

arxiv: 1810.07346 · arxiv_version: 1810.07346v3 · doi: 10.48550/arxiv.1810.07346 · pith_short_12: O5JRYVAYDKWQ · pith_short_16: O5JRYVAYDKWQE5EJ · pith_short_8: O5JRYVAY

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/O5JRYVAYDKWQE5EJBHS5MUKMXH \
  | 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: 77531c54181aad02748909e5d6514cb9c0afc0db3759e17546f3476b02e49bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e22e4682b6b20e6285e0836f8b01cd54ef21ac04a30e5865d33dda79f715bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2018-10-17T01:36:01Z",
    "title_canon_sha256": "15f28589bba93efc11d119aed504d284a2c802c2ddfefd6ea6e0c3b83280343e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07346",
    "kind": "arxiv",
    "version": 3
  }
}