Pith Number

pith:3EV4VESZ

pith:2017:3EV4VESZ5RAQDX4LAVFWTW5ULX

not attested not anchored not stored refs pending

On the union complexity of families of axis-parallel rectangles with a low packing number

Chaya Keller, Shakhar Smorodinsky

arxiv:1702.00849 v1 · 2017-02-02 · math.CO · 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{3EV4VESZ5RAQDX4LAVFWTW5ULX}

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	2026-05-18T00:51:29.592046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d92bca9259ec4101df8b054b69dbb45dd5dcc66c45786b890ad1e7c9a4c97c4b

Aliases

arxiv: 1702.00849 · arxiv_version: 1702.00849v1 · doi: 10.48550/arxiv.1702.00849 · pith_short_12: 3EV4VESZ5RAQ · pith_short_16: 3EV4VESZ5RAQDX4L · pith_short_8: 3EV4VESZ

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/3EV4VESZ5RAQDX4LAVFWTW5ULX \
  | 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: d92bca9259ec4101df8b054b69dbb45dd5dcc66c45786b890ad1e7c9a4c97c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2269d915aff5c7f47d512e304692c1738939b4603dc85208088a4045ecdcda4d",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-02T22:20:25Z",
    "title_canon_sha256": "499d119fceddbf4400221ed3540185e91e78026ba107632078bba4fe5da604fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00849",
    "kind": "arxiv",
    "version": 1
  }
}