Pith Number

pith:SJYLUHJW

pith:2026:SJYLUHJW63RHHP5MJ2LZAAF6KT

not attested not anchored not stored refs pending

Structure of ind-pro completions of Noetherian rings

Dmitry Badulin

arxiv:2601.12016 v3 · 2026-01-17 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJYLUHJW63RHHP5MJ2LZAAF6KT}

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	2026-07-09T00:19:12.575849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9270ba1d36f6e273bfac4e979000be54d1d880bece7b53aa2a19eefca0335582

Aliases

arxiv: 2601.12016 · arxiv_version: 2601.12016v3 · doi: 10.48550/arxiv.2601.12016 · pith_short_12: SJYLUHJW63RH · pith_short_16: SJYLUHJW63RHHP5M · pith_short_8: SJYLUHJW

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/SJYLUHJW63RHHP5MJ2LZAAF6KT \
  | 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: 9270ba1d36f6e273bfac4e979000be54d1d880bece7b53aa2a19eefca0335582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834512133ed67deb50364051ac36f6b1b48bd9df149365faa19d904433078cb7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-01-17T11:47:19Z",
    "title_canon_sha256": "03e416bc3c4d73aa5afd1e7bfe34fa3aa46b8f16c57f5508ae1c90de00514f5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.12016",
    "kind": "arxiv",
    "version": 3
  }
}