Pith Number

pith:5QVA4JNY

pith:2014:5QVA4JNYHVPUI3CHJ7KWRWVH4E

not attested not anchored not stored refs pending

Planar lower envelope of monotone polygonal chains

Daniel Lu

arxiv:1412.6619 v3 · 2014-12-20 · 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{5QVA4JNYHVPUI3CHJ7KWRWVH4E}

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	2026-05-18T01:37:19.303217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2a0e25b83d5f446c474fd568daa7e121d56d3fd3878d9a24eca11b07237b5d

Aliases

arxiv: 1412.6619 · arxiv_version: 1412.6619v3 · doi: 10.48550/arxiv.1412.6619 · pith_short_12: 5QVA4JNYHVPU · pith_short_16: 5QVA4JNYHVPUI3CH · pith_short_8: 5QVA4JNY

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/5QVA4JNYHVPUI3CHJ7KWRWVH4E \
  | 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: ec2a0e25b83d5f446c474fd568daa7e121d56d3fd3878d9a24eca11b07237b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7c5c425934edc88a4608a10b678113c3c7e307a8b1d38b8a7e1c16b6e82998",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2014-12-20T07:10:38Z",
    "title_canon_sha256": "44df82ba4330c17bf51aed24e126d3f0ef2c014499a6d3c5afd5fc02fe1a19b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6619",
    "kind": "arxiv",
    "version": 3
  }
}