Pith Number

pith:U3D5LDX2

pith:2026:U3D5LDX2E2OHPG37K764B3JP5E

not attested not anchored not stored refs pending

Power Semigroups and Two Rigidity Theorems for Groups

Salvatore Tringali, Shuolin Liu

arxiv:2606.01917 v1 · 2026-06-01 · math.GR · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3D5LDX2E2OHPG37K764B3JP5E}

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	2026-06-02T02:05:00.464976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c7d58efa269c779b7f57fdc0ed2fe90560523e740929afb8bd7ca1514303d9

Aliases

arxiv: 2606.01917 · arxiv_version: 2606.01917v1 · doi: 10.48550/arxiv.2606.01917 · pith_short_12: U3D5LDX2E2OH · pith_short_16: U3D5LDX2E2OHPG37 · pith_short_8: U3D5LDX2

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/U3D5LDX2E2OHPG37K764B3JP5E \
  | 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: a6c7d58efa269c779b7f57fdc0ed2fe90560523e740929afb8bd7ca1514303d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf17f9e53f6f43f33bc8acb8239c7ec040fd2cb98615bf4235b55d5edca0bc4",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-01T08:52:22Z",
    "title_canon_sha256": "b6d0111707f583dc4d322a38aea5403e8836cbab6f1f7f283d23ab0af32f4624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01917",
    "kind": "arxiv",
    "version": 1
  }
}