Pith Number

pith:3EIFCX7C

pith:2019:3EIFCX7CMCEAI4XWDXWKQG7HMQ

not attested not anchored not stored refs pending

Covering Radius of Permutation Groups with Infinity-Norm

Xiande Zhang, Xin Wei

arxiv:1905.08098 v1 · 2019-05-20 · 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{3EIFCX7CMCEAI4XWDXWKQG7HMQ}

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	2026-05-17T23:45:47.620588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d910515fe260880472f61deca81be7641bdf879bde56c7e74dea340daa47d950

Aliases

arxiv: 1905.08098 · arxiv_version: 1905.08098v1 · doi: 10.48550/arxiv.1905.08098 · pith_short_12: 3EIFCX7CMCEA · pith_short_16: 3EIFCX7CMCEAI4XW · pith_short_8: 3EIFCX7C

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/3EIFCX7CMCEAI4XWDXWKQG7HMQ \
  | 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: d910515fe260880472f61deca81be7641bdf879bde56c7e74dea340daa47d950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3307dc8a24c74f6f684ff9f6d804c2e6909242d1c959ebd40f29b7b3a0255a4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-20T13:25:58Z",
    "title_canon_sha256": "74701040f961a597bb506a373cbe7babe1ed7fa3772c05b8a7b1464fe43c24f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08098",
    "kind": "arxiv",
    "version": 1
  }
}