Pith Number

pith:CKHV4H4Y

pith:2026:CKHV4H4YYX4KU5WTJ6RGDWLIV4

not attested not anchored not stored refs pending

Minimum Size of a Poset Realizing $\Z_{2}\times\Z_{2^{n}}$ as its Automorphism Group

Ponaki Das, Sainkupar Marwein Mawiong

arxiv:2606.28231 v1 · 2026-06-26 · 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{CKHV4H4YYX4KU5WTJ6RGDWLIV4}

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	2026-06-29T01:15:09.942452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128f5e1f98c5f8aa76d34fa261d968af10f62ac6caa62bde2603a6530f1a14fd

Aliases

arxiv: 2606.28231 · arxiv_version: 2606.28231v1 · doi: 10.48550/arxiv.2606.28231 · pith_short_12: CKHV4H4YYX4K · pith_short_16: CKHV4H4YYX4KU5WT · pith_short_8: CKHV4H4Y

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/CKHV4H4YYX4KU5WTJ6RGDWLIV4 \
  | 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: 128f5e1f98c5f8aa76d34fa261d968af10f62ac6caa62bde2603a6530f1a14fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab49b5f5c2a29e5e77734834c156726a964df7bdc7102effbb6115f2ac67547",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-26T16:20:33Z",
    "title_canon_sha256": "d4fb24a050eb1f8b5faffa4a31d702c0eea0c62c66ec53915cd1fb7eebfdbd73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28231",
    "kind": "arxiv",
    "version": 1
  }
}