Pith Number

pith:DAFNKGL6

pith:2026:DAFNKGL6O32RFSMJ3IY2GUK7Q3

not attested not anchored not stored refs pending

(Locally) Associated Subrings in Polynomial and Power Series Extensions

Grant Moles, Joseph Swanson

arxiv:2608.07741 v1 · 2026-08-07 · 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{DAFNKGL6O32RFSMJ3IY2GUK7Q3}

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	2026-08-11T00:15:50.284601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180ad5197e76f512c989da31a3515f86e1b48c47bfc7dc3afe6fffd85cd44b74

Aliases

arxiv: 2608.07741 · arxiv_version: 2608.07741v1 · doi: 10.48550/arxiv.2608.07741 · pith_short_12: DAFNKGL6O32R · pith_short_16: DAFNKGL6O32RFSMJ · pith_short_8: DAFNKGL6

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/DAFNKGL6O32RFSMJ3IY2GUK7Q3 \
  | 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: 180ad5197e76f512c989da31a3515f86e1b48c47bfc7dc3afe6fffd85cd44b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b6cc18d542809d94af25505dad7bc22203a7388b3024cefee5d28bd3b0aae2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-08-07T20:13:45Z",
    "title_canon_sha256": "fc075bb1f1a7401812a45beb8629507aee92c6ab62072d9eb09ee0a5cc73a044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07741",
    "kind": "arxiv",
    "version": 1
  }
}