Pith Number

pith:7HZARSAV

pith:2026:7HZARSAVDQA2EETONUZIF5JNVI

not attested not anchored not stored refs pending

A compensation theorem for the Sylow-integral invariant and counterexamples to an \texorpdfstring{$A_5$}{A5}-characterization conjecture

Yaoran Yang, Yutong Zhang

arxiv:2605.20976 v1 · 2026-05-20 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HZARSAVDQA2EETONUZIF5JNVI}

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	2026-05-21T01:05:30.705411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f208c8151c01a2126e6d3282f52daa0efa7c7c4cf5be63ac316b2d4051a199

Aliases

arxiv: 2605.20976 · arxiv_version: 2605.20976v1 · doi: 10.48550/arxiv.2605.20976 · pith_short_12: 7HZARSAVDQA2 · pith_short_16: 7HZARSAVDQA2EETO · pith_short_8: 7HZARSAV

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/7HZARSAVDQA2EETONUZIF5JNVI \
  | 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: f9f208c8151c01a2126e6d3282f52daa0efa7c7c4cf5be63ac316b2d4051a199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d310ded6f7f7a3915a2157990038a81898ed9cd0fec81f2a81cd49feedc0c50",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-05-20T10:06:19Z",
    "title_canon_sha256": "5cb2ddb76baed0b8f15fef323d7060fdc77f0e1f16ae4bf199e6c30dae543718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20976",
    "kind": "arxiv",
    "version": 1
  }
}