Pith Number

pith:WPJZHLTK

pith:2016:WPJZHLTKEP5JDEU3AVWAWZCCEY

not attested not anchored not stored refs pending

New bounds of permutation codes under Hamming metric and Kendall's $\tau$-metric

Gennian Ge, Xin Wang, Yiting Yang, Yiwei Zhang

arxiv:1611.07188 v1 · 2016-11-22 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPJZHLTKEP5JDEU3AVWAWZCCEY}

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	2026-05-18T00:57:24.649581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d393ae6a23fa91929b056c0b6442260199a2507b81129614c9143a98d14433

Aliases

arxiv: 1611.07188 · arxiv_version: 1611.07188v1 · doi: 10.48550/arxiv.1611.07188 · pith_short_12: WPJZHLTKEP5J · pith_short_16: WPJZHLTKEP5JDEU3 · pith_short_8: WPJZHLTK

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/WPJZHLTKEP5JDEU3AVWAWZCCEY \
  | 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: b3d393ae6a23fa91929b056c0b6442260199a2507b81129614c9143a98d14433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b82c65e72832cc587afbdba51691066ccd63582da5ae71c3e6851b754329ca92",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-22T08:17:44Z",
    "title_canon_sha256": "e078d005a1578abbfa3b1b5c7a058398a784099d4d0ae0ee40a61824813c3842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07188",
    "kind": "arxiv",
    "version": 1
  }
}