Pith Number

pith:HEJKOYVV

pith:2012:HEJKOYVVBQWN4FQFTX5XWG4KEA

not attested not anchored not stored refs pending

New lower bound for 2-identifying code in the square grid

Ville Junnila

arxiv:1202.0671 v2 · 2012-02-03 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEJKOYVVBQWN4FQFTX5XWG4KEA}

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	2026-05-18T03:42:44.583111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3912a762b50c2cde16059dfb7b1b8a2024ed7e8573d0e900e25309084570ef2f

Aliases

arxiv: 1202.0671 · arxiv_version: 1202.0671v2 · doi: 10.48550/arxiv.1202.0671 · pith_short_12: HEJKOYVVBQWN · pith_short_16: HEJKOYVVBQWN4FQF · pith_short_8: HEJKOYVV

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/HEJKOYVVBQWN4FQFTX5XWG4KEA \
  | 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: 3912a762b50c2cde16059dfb7b1b8a2024ed7e8573d0e900e25309084570ef2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1647413e65dce14f3db8d5b8be80070aa430f3d1f123b91ec901f0ee2a7c0e3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-03T11:54:21Z",
    "title_canon_sha256": "f39642baeb141a59a316efd317660286784acfdcb0291bcc71bdbde78d22ff8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0671",
    "kind": "arxiv",
    "version": 2
  }
}