Pith Number

pith:OD4LFPGB

pith:2026:OD4LFPGBEBQMSGFCTPQYX5YKXL

not attested not anchored not stored refs pending

The Noetherian Case of Bayart's Power-Series Question

Dung V. Nguyen, Quang X. Nguyen, Tan M. Nguyen, Thieu N. Vo, Viet-Hoang Tran

arxiv:2608.12642 v1 · 2026-08-12 · 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{OD4LFPGBEBQMSGFCTPQYX5YKXL}

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	2026-08-14T00:46:22.025475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f8b2bcc12060c918a29be18bf70abaed2314b005f4d750a10223a9ad8b3d79

Aliases

arxiv: 2608.12642 · arxiv_version: 2608.12642v1 · doi: 10.48550/arxiv.2608.12642 · pith_short_12: OD4LFPGBEBQM · pith_short_16: OD4LFPGBEBQMSGFC · pith_short_8: OD4LFPGB

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/OD4LFPGBEBQMSGFCTPQYX5YKXL \
  | 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: 70f8b2bcc12060c918a29be18bf70abaed2314b005f4d750a10223a9ad8b3d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "effa41c2a1e9fa2b6d4fa584817f61cb596876372f997af92de52ff8cb719f5a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-08-12T23:06:13Z",
    "title_canon_sha256": "c7307d9b45025422238da172f9475363c75c6478ed7704a4bddd1fd02ebb0a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12642",
    "kind": "arxiv",
    "version": 1
  }
}