Pith Number

pith:735BWN3Q

pith:2019:735BWN3Q4JF4MBU6VYC5URTI2C

not attested not anchored not stored refs pending

Improved Upper Bounds on the Growth Constants of Polyominoes and Polycubes

Gill Barequet, Mira Shalah

arxiv:1906.11447 v2 · 2019-06-27 · cs.DM · cs.CG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{735BWN3Q4JF4MBU6VYC5URTI2C}

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	2026-05-17T23:41:57.716466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fefa1b3770e24bc6069eae05da4668d0a7cd62689c3f90ac45c12409dfc8a2b8

Aliases

arxiv: 1906.11447 · arxiv_version: 1906.11447v2 · doi: 10.48550/arxiv.1906.11447 · pith_short_12: 735BWN3Q4JF4 · pith_short_16: 735BWN3Q4JF4MBU6 · pith_short_8: 735BWN3Q

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/735BWN3Q4JF4MBU6VYC5URTI2C \
  | 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: fefa1b3770e24bc6069eae05da4668d0a7cd62689c3f90ac45c12409dfc8a2b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6850df3cf09fe8d09c2faa19c22debf6d97def3dffed1eba3a9e2cd56a6145",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-06-27T06:07:49Z",
    "title_canon_sha256": "724e140d47d8955d265a64e9bbd58f27356daab57db35d22412ae7fdfdcf8321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11447",
    "kind": "arxiv",
    "version": 2
  }
}