Pith Number

pith:I45FSOZD

pith:2012:I45FSOZDXCVQB4USYZ6CJMTQ5R

not attested not anchored not stored refs pending

Lower bounds on maximal determinants of +-1 matrices via the probabilistic method

Judy-anne H. Osborn, Richard P. Brent, Warren D. Smith

arxiv:1211.3248 v3 · 2012-11-14 · 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{I45FSOZDXCVQB4USYZ6CJMTQ5R}

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	2026-05-18T03:26:32.236964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473a593b23b8ab00f292c67c24b270ec7228545df1e8e5bf8babaf556d998ccb

Aliases

arxiv: 1211.3248 · arxiv_version: 1211.3248v3 · doi: 10.48550/arxiv.1211.3248 · pith_short_12: I45FSOZDXCVQ · pith_short_16: I45FSOZDXCVQB4US · pith_short_8: I45FSOZD

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/I45FSOZDXCVQB4USYZ6CJMTQ5R \
  | 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: 473a593b23b8ab00f292c67c24b270ec7228545df1e8e5bf8babaf556d998ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "338a84b2ebd8fa7cf64d07c4e408186fbabbf1f29f28a766bbe10a4dce3a8ea4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-14T09:31:09Z",
    "title_canon_sha256": "eef289cb85c5105d20b80090e1b4969c051e70aa1270738970593d11f470d582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3248",
    "kind": "arxiv",
    "version": 3
  }
}