Pith Number

pith:FD6WHMG6

pith:2011:FD6WHMG636I2ZX6DA5Z7GMM3EA

not attested not anchored not stored refs pending

Enumeration of permutations by number of alternating runs

Shi-Mei Ma

arxiv:1110.5014 v7 · 2011-10-23 · 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{FD6WHMG636I2ZX6DA5Z7GMM3EA}

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	2026-05-18T03:39:51.122957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28fd63b0dedf91acdfc30773f3319b2021926e3afc2619475c7a506faf4cabd9

Aliases

arxiv: 1110.5014 · arxiv_version: 1110.5014v7 · doi: 10.48550/arxiv.1110.5014 · pith_short_12: FD6WHMG636I2 · pith_short_16: FD6WHMG636I2ZX6D · pith_short_8: FD6WHMG6

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/FD6WHMG636I2ZX6DA5Z7GMM3EA \
  | 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: 28fd63b0dedf91acdfc30773f3319b2021926e3afc2619475c7a506faf4cabd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a321b8bfe94e4fda21ed40f883bb994f72e3528191c3325daf8b3049e1191240",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-23T03:26:08Z",
    "title_canon_sha256": "d373cdee6d59537f1196bd5f6b648e6ef7a38652c85c1ac63ca4412d5d7289a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5014",
    "kind": "arxiv",
    "version": 7
  }
}