Pith Number

pith:MZ2TXRAC

pith:2019:MZ2TXRACBXAE36NLIE7R6ZTP2S

not attested not anchored not stored refs pending

The alternating run polynomials of permutations

Jun Ma, Shi-Mei Ma, Yeong-Nan Yeh

arxiv:1904.11437 v3 · 2019-04-25 · 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{MZ2TXRACBXAE36NLIE7R6ZTP2S}

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	2026-05-17T23:47:24.683717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66753bc4020dc04df9ab413f1f666fd48f627c60bc0871ea8fcbede9e9f9a1db

Aliases

arxiv: 1904.11437 · arxiv_version: 1904.11437v3 · doi: 10.48550/arxiv.1904.11437 · pith_short_12: MZ2TXRACBXAE · pith_short_16: MZ2TXRACBXAE36NL · pith_short_8: MZ2TXRAC

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/MZ2TXRACBXAE36NLIE7R6ZTP2S \
  | 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: 66753bc4020dc04df9ab413f1f666fd48f627c60bc0871ea8fcbede9e9f9a1db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6eea82552e5102f46e409e56e5f80e725be3df35dd6f140a564af3d3da4275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-25T16:19:36Z",
    "title_canon_sha256": "d4c81b8e77ce84d0b68ba744cf3c304d510667900e75c3e8c975ee5f00653fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11437",
    "kind": "arxiv",
    "version": 3
  }
}