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Pith Number

pith:OU43DU2L

pith:2017:OU43DU2LBFJPGEKGLMJYDV7RG6
not attested not anchored not stored refs pending

Specialization Method in Krull Dimension two and Euler System Theory over Normal Deformation Rings

Kazuma Shimomoto, Tadashi Ochiai

arxiv:1706.01571 v1 · 2017-06-06 · math.NT · math.AC · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OU43DU2LBFJPGEKGLMJYDV7RG6}

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 2026-05-18T00:42:56.641274Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7539b1d34b0952f311465b1381d7f137a32fc1abb2986c2685d1ae025da95781

Aliases

arxiv: 1706.01571 · arxiv_version: 1706.01571v1 · doi: 10.48550/arxiv.1706.01571 · pith_short_12: OU43DU2LBFJP · pith_short_16: OU43DU2LBFJPGEKG · pith_short_8: OU43DU2L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OU43DU2LBFJPGEKGLMJYDV7RG6 \
  | 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: 7539b1d34b0952f311465b1381d7f137a32fc1abb2986c2685d1ae025da95781
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d1f9150e4339cd0ef7aaf7bd454ab478160445a29532ea67ba4c10b2c9b8f04f",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-06T00:55:30Z",
    "title_canon_sha256": "edf0f5013fb7f6ebd678aec5c5ed99713c52e1b95aff71f5272be2c93b383fba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01571",
    "kind": "arxiv",
    "version": 1
  }
}