Pith Number

pith:MN6LULSD

pith:2012:MN6LULSD3BMSSUYOKMRMXZN56S

not attested not anchored not stored refs pending

On a Family of Conjectures of Joel Lewis on Alternating Permutations

Miklos Bona

arxiv:1205.1778 v1 · 2012-05-08 · 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{MN6LULSD3BMSSUYOKMRMXZN56S}

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	2026-05-18T03:56:08.976342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637cba2e43d85929530e5322cbe5bdf4a1a5bd5295da080262ac6b9828312bde

Aliases

arxiv: 1205.1778 · arxiv_version: 1205.1778v1 · doi: 10.48550/arxiv.1205.1778 · pith_short_12: MN6LULSD3BMS · pith_short_16: MN6LULSD3BMSSUYO · pith_short_8: MN6LULSD

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/MN6LULSD3BMSSUYOKMRMXZN56S \
  | 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: 637cba2e43d85929530e5322cbe5bdf4a1a5bd5295da080262ac6b9828312bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df25029f9482cafc869648b3523cb7ca919175731c21e5238fb95aa088e994f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-08T19:18:26Z",
    "title_canon_sha256": "1d2cea2c6fbcb2559af0ca55217c93d84e3e1ed96162c4c2916b52b9cc26b34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1778",
    "kind": "arxiv",
    "version": 1
  }
}