Pith Number

pith:QV6Y3AVY

pith:2016:QV6Y3AVYMQYVRAVACMH6UPEG4O

not attested not anchored not stored refs pending

The p-radical closure of local noetherian rings

Stefan Schr\"oer

arxiv:1610.08675 v2 · 2016-10-27 · 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{QV6Y3AVYMQYVRAVACMH6UPEG4O}

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	2026-05-18T00:44:33.656630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

857d8d82b864315882a0130fea3c86e3a1afdefa2918b4432bcfb23d01785042

Aliases

arxiv: 1610.08675 · arxiv_version: 1610.08675v2 · doi: 10.48550/arxiv.1610.08675 · pith_short_12: QV6Y3AVYMQYV · pith_short_16: QV6Y3AVYMQYVRAVA · pith_short_8: QV6Y3AVY

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/QV6Y3AVYMQYVRAVACMH6UPEG4O \
  | 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: 857d8d82b864315882a0130fea3c86e3a1afdefa2918b4432bcfb23d01785042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6979089e2b47335abad20fd6b98ccf8a3ebdb92f2df78ab73c7cef646c4e7793",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-27T09:38:21Z",
    "title_canon_sha256": "3bc5c0ec42bcf85628801c1260b67f3f860b770fd841e99d26475cbfdd9ff3ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08675",
    "kind": "arxiv",
    "version": 2
  }
}