Pith Number

pith:S4H45WGU

pith:2014:S4H45WGU77EJ6DSARBGHVPRQA3

not attested not anchored not stored refs pending

Lower bounds on maximal determinants of binary matrices via the probabilistic method

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

arxiv:1402.6817 v6 · 2014-02-27 · 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{S4H45WGU77EJ6DSARBGHVPRQA3}

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	2026-05-18T01:01:29.535398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970fced8d4ffc89f0e40884c7abe3006e1117422b8049ecc574b375f7cdbe2fd

Aliases

arxiv: 1402.6817 · arxiv_version: 1402.6817v6 · doi: 10.48550/arxiv.1402.6817 · pith_short_12: S4H45WGU77EJ · pith_short_16: S4H45WGU77EJ6DSA · pith_short_8: S4H45WGU

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/S4H45WGU77EJ6DSARBGHVPRQA3 \
  | 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: 970fced8d4ffc89f0e40884c7abe3006e1117422b8049ecc574b375f7cdbe2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76bfacb266c8f610abb1541859ca08cf910c1ba144b1d6b14fd3a4bee56c40a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-27T08:03:41Z",
    "title_canon_sha256": "a60a25aa809cf7e40162b7ba44183e68524245b83d119eb7ea5a6f43123c8501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6817",
    "kind": "arxiv",
    "version": 6
  }
}