Pith Number

pith:KJR4RNZW

pith:2015:KJR4RNZWBVSFODD6FJHX3RHUQ2

not attested not anchored not stored refs pending

Largest minimal inversion-complete and pair-complete sets of permutations

Eric Balandraud (IMJ), Fabio Tardella, Maurice Queyranne

arxiv:1503.00228 v1 · 2015-03-01 · 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{KJR4RNZWBVSFODD6FJHX3RHUQ2}

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	2026-05-18T02:25:54.856140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5263c8b7360d64570c7e2a4f7dc4f486aa615f91c0dce11d10e1eba11eb68712

Aliases

arxiv: 1503.00228 · arxiv_version: 1503.00228v1 · doi: 10.48550/arxiv.1503.00228 · pith_short_12: KJR4RNZWBVSF · pith_short_16: KJR4RNZWBVSFODD6 · pith_short_8: KJR4RNZW

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/KJR4RNZWBVSFODD6FJHX3RHUQ2 \
  | 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: 5263c8b7360d64570c7e2a4f7dc4f486aa615f91c0dce11d10e1eba11eb68712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f9fc0ae9420820596898f6258034f0b5ebb26e208ae0169629fae18fe9e5df2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-01T07:41:15Z",
    "title_canon_sha256": "4fb70109d850b4fec0bae18cfb3d85bcbfb567243ade3ab6ae7ed072554635c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00228",
    "kind": "arxiv",
    "version": 1
  }
}