Pith Number

pith:Z4PSLN6C

pith:2022:Z4PSLN6CU327UT42G6BA3KG7NL

not attested not anchored not stored refs pending

A necessary and sufficient condition for the existence of non-trivial $S_n$-invariants in the splitting algebra

Kevin Schlegel

arxiv:2203.09342 v1 · 2022-03-17 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4PSLN6CU327UT42G6BA3KG7NL}

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	2026-07-05T04:06:10.250513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1f25b7c2a6f5fa4f9a37820da8df6ae5c63cacef1c424ec7371b0c0c6710f3

Aliases

arxiv: 2203.09342 · arxiv_version: 2203.09342v1 · doi: 10.48550/arxiv.2203.09342 · pith_short_12: Z4PSLN6CU327 · pith_short_16: Z4PSLN6CU327UT42 · pith_short_8: Z4PSLN6C

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/Z4PSLN6CU327UT42G6BA3KG7NL \
  | 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: cf1f25b7c2a6f5fa4f9a37820da8df6ae5c63cacef1c424ec7371b0c0c6710f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1868fac391a57bee80c1996599f3423b53248ad91532b848473b56a5dda468",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-03-17T14:19:39Z",
    "title_canon_sha256": "43e578d54d7b26a63e0abec07b88f11eae7bcc4444c58f91f71f7e4c0ac31cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.09342",
    "kind": "arxiv",
    "version": 1
  }
}