Pith Number

pith:BJW2RGIJ

pith:2018:BJW2RGIJ6B2ATVRBWIYE75HFAK

not attested not anchored not stored refs pending

New Lower Bounds for Permutation Arrays Using Contraction

I.H. Sudborough, Linda Morales, Luis Gerardo Mojica, Sergey Bereg, Zevi Miller

arxiv:1804.03768 v3 · 2018-04-11 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJW2RGIJ6B2ATVRBWIYE75HFAK}

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	2026-05-18T00:06:04.467073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a6da89909f07409d621b2304ff4e5028995934830adf672d6a69e779af0a2c0

Aliases

arxiv: 1804.03768 · arxiv_version: 1804.03768v3 · doi: 10.48550/arxiv.1804.03768 · pith_short_12: BJW2RGIJ6B2A · pith_short_16: BJW2RGIJ6B2ATVRB · pith_short_8: BJW2RGIJ

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/BJW2RGIJ6B2ATVRBWIYE75HFAK \
  | 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: 0a6da89909f07409d621b2304ff4e5028995934830adf672d6a69e779af0a2c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92cb0536f638163a3834e36985e480a3907886365d8c1d66eeeab5fc92e88464",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-11T01:02:32Z",
    "title_canon_sha256": "6bd830d824f5047c3f22c6c3d66324e3daaf492e474562c1b888df11152c4345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03768",
    "kind": "arxiv",
    "version": 3
  }
}