Pith Number

pith:ZHPN6JOO

pith:2019:ZHPN6JOOKDXHMXNVPOWT6V52XH

not attested not anchored not stored refs pending

Permutations with few inversions are locally uniform

David Bevan

arxiv:1908.07277 v2 · 2019-08-20 · 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{ZHPN6JOOKDXHMXNVPOWT6V52XH}

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	2026-07-05T05:08:24.046560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9dedf25ce50ee765db57bad3f57bab9cc44a9b3c96c5df50ef7f7b79bf7e4da

Aliases

arxiv: 1908.07277 · arxiv_version: 1908.07277v2 · doi: 10.48550/arxiv.1908.07277 · pith_short_12: ZHPN6JOOKDXH · pith_short_16: ZHPN6JOOKDXHMXNV · pith_short_8: ZHPN6JOO

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/ZHPN6JOOKDXHMXNVPOWT6V52XH \
  | 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: c9dedf25ce50ee765db57bad3f57bab9cc44a9b3c96c5df50ef7f7b79bf7e4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42734eca3e09753764ee6d1e16093c492103dd950dad26fff9075e105004c745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-20T11:28:34Z",
    "title_canon_sha256": "a774da70c4ccdcda446a48a452e9ccfd70282ea4caebb97f002193094064bbdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07277",
    "kind": "arxiv",
    "version": 2
  }
}