Pith Number

pith:Z3KHS6MZ

pith:2024:Z3KHS6MZJMBKY4PTJUV7HZQBFV

not attested not anchored not stored refs pending

The groups $G_{n}^{k}$ and $2n$-gon tilings

Seongjeong Kim, Vassily Olegovich Manturov

arxiv:2401.15345 v3 · 2024-01-27 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3KHS6MZJMBKY4PTJUV7HZQBFV}

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.

Cited by

1 paper in Pith

Octagon and tropical octagon yield braid invariants

Receipt and verification

First computed	2026-07-05T09:58:18.455040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced47979994b02ac71f34d2bf3e6012d4ce00b3c7a465b897567075c6c9b45f4

Aliases

arxiv: 2401.15345 · arxiv_version: 2401.15345v3 · doi: 10.48550/arxiv.2401.15345 · pith_short_12: Z3KHS6MZJMBK · pith_short_16: Z3KHS6MZJMBKY4PT · pith_short_8: Z3KHS6MZ

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/Z3KHS6MZJMBKY4PTJUV7HZQBFV \
  | 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: ced47979994b02ac71f34d2bf3e6012d4ce00b3c7a465b897567075c6c9b45f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55cbda459dff329a69f7ef6442a622d4e040c40251fcfb3bfc022e1e9e7bb98",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-01-27T08:31:38Z",
    "title_canon_sha256": "fe96676ba439ae18c5e6198d9466e6c0ea3af8542a7ec554d51451df1f2f0f01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.15345",
    "kind": "arxiv",
    "version": 3
  }
}