Pith Number

pith:QEZGKT3Z

pith:2011:QEZGKT3ZTBHLHV4R7Z4TCLI2YB

not attested not anchored not stored refs pending

Refined inversion statistics on permutations

Henning \'Ulfarsson, Joshua Sack

arxiv:1106.1995 v2 · 2011-06-10 · 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{QEZGKT3ZTBHLHV4R7Z4TCLI2YB}

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	2026-05-18T04:04:44.782440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8132654f79984eb3d791fe79312d1ac07fca3a68fd58fa86c46840f858545628

Aliases

arxiv: 1106.1995 · arxiv_version: 1106.1995v2 · doi: 10.48550/arxiv.1106.1995 · pith_short_12: QEZGKT3ZTBHL · pith_short_16: QEZGKT3ZTBHLHV4R · pith_short_8: QEZGKT3Z

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/QEZGKT3ZTBHLHV4R7Z4TCLI2YB \
  | 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: 8132654f79984eb3d791fe79312d1ac07fca3a68fd58fa86c46840f858545628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7bc4e1b1e558b773bb6d92d40d74e2a068b474406f941ef04e2336b3a524a05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-10T09:52:27Z",
    "title_canon_sha256": "3e4eace7f64a7442882c88da08b1f17d44793d817d18e504999e9cbd7595f891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1995",
    "kind": "arxiv",
    "version": 2
  }
}