Pith Number

pith:A4BYBM4K

pith:2011:A4BYBM4KXCE3S36AXIWU3JNLIO

not attested not anchored not stored refs pending

An improved lower bound for (1,<=2)-identifying codes in the king grid

Aline Parreau (IF), Florent Foucaud (LaBRI), Tero Laihonen

arxiv:1111.2477 v1 · 2011-11-10 · 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{A4BYBM4KXCE3S36AXIWU3JNLIO}

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	2026-05-18T02:19:08.769203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

070380b38ab889b96fc0ba2d4da5ab43a007dd22cda6a3e60ca38aff298dbd91

Aliases

arxiv: 1111.2477 · arxiv_version: 1111.2477v1 · doi: 10.48550/arxiv.1111.2477 · pith_short_12: A4BYBM4KXCE3 · pith_short_16: A4BYBM4KXCE3S36A · pith_short_8: A4BYBM4K

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/A4BYBM4KXCE3S36AXIWU3JNLIO \
  | 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: 070380b38ab889b96fc0ba2d4da5ab43a007dd22cda6a3e60ca38aff298dbd91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4678e9f797ef83ad34d89acddf38838af3d5ebc97f3746a6259949aa003189e3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-10T14:10:13Z",
    "title_canon_sha256": "bebf3f1a59f96ab4458edaa99c06088c078c2d5df2167cbd4fc1cabd2ddde12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2477",
    "kind": "arxiv",
    "version": 1
  }
}