Pith Number

pith:Y3XGKZS5

pith:2026:Y3XGKZS5SJYDTFSFSEOAKUG5H3

not attested not anchored not stored refs pending

Decomposition Theorem for Perfectoid Rings along General Ideals

L\'eo Navarro Chafloque, Ryo Ishizuka

arxiv:2606.06241 v1 · 2026-06-04 · math.AC · math.AG · 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{Y3XGKZS5SJYDTFSFSEOAKUG5H3}

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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.

Cited by

1 paper in Pith

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring

Receipt and verification

First computed	2026-06-05T01:15:39.038167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6ee65665d9270399645911c0550dd3efd77df1b095f8a56ea687495eaed83b5

Aliases

arxiv: 2606.06241 · arxiv_version: 2606.06241v1 · doi: 10.48550/arxiv.2606.06241 · pith_short_12: Y3XGKZS5SJYD · pith_short_16: Y3XGKZS5SJYDTFSF · pith_short_8: Y3XGKZS5

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/Y3XGKZS5SJYDTFSFSEOAKUG5H3 \
  | 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: c6ee65665d9270399645911c0550dd3efd77df1b095f8a56ea687495eaed83b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b831618a8d862f6b34aa70ae6ff46258a7edaeba77886a12ee336439842dd0cb",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-04T14:47:21Z",
    "title_canon_sha256": "e36c9bc7ed644c1a7b7dd5c8cc4c78a7ea26e98ef75bedfbb4298f3aafc2e408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06241",
    "kind": "arxiv",
    "version": 1
  }
}