Pith Number

pith:G2DOUIY2

pith:2015:G2DOUIY2P4JNMYKT4MPDY5XQRF

not attested not anchored not stored refs pending

An embedding problem of Noetherian rings into the Witt vectors

Kazuma Shimomoto

arxiv:1503.02018 v3 · 2015-03-06 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2DOUIY2P4JNMYKT4MPDY5XQRF}

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	2026-05-18T00:45:58.994851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3686ea231a7f12d66153e31e3c76f0894176ac4d9ce08fbc8df6a75cec1067e1

Aliases

arxiv: 1503.02018 · arxiv_version: 1503.02018v3 · doi: 10.48550/arxiv.1503.02018 · pith_short_12: G2DOUIY2P4JN · pith_short_16: G2DOUIY2P4JNMYKT · pith_short_8: G2DOUIY2

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/G2DOUIY2P4JNMYKT4MPDY5XQRF \
  | 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: 3686ea231a7f12d66153e31e3c76f0894176ac4d9ce08fbc8df6a75cec1067e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfbd5fa869eda66718fc199084bf544fd278627a818e36ba1785a81d5c66b53",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-06T17:11:39Z",
    "title_canon_sha256": "3aab4f52a0c213f24764198114f97b14c70589ee16dfe75bffdb3e31fa856512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02018",
    "kind": "arxiv",
    "version": 3
  }
}