Pith. sign in
Pith Number

pith:5SJ72MGW

pith:2022:5SJ72MGWHFSKFALXUJJO7UC6YI
not attested not anchored not stored refs pending

On rank in algebraic closure

Amichai Lampert, Tamar Ziegler

arxiv:2205.05329 v3 · 2022-05-11 · math.NT · math.AC · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5SJ72MGWHFSKFALXUJJO7UC6YI}

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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

Receipt and verification
First computed 2026-07-05T07:39:24.943197Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ec93fd30d63964a28177a252efd05ec22d5b7128c615e1722b4e6ccdfbc9f6b6

Aliases

arxiv: 2205.05329 · arxiv_version: 2205.05329v3 · doi: 10.48550/arxiv.2205.05329 · pith_short_12: 5SJ72MGWHFSK · pith_short_16: 5SJ72MGWHFSKFALX · pith_short_8: 5SJ72MGW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5SJ72MGWHFSKFALXUJJO7UC6YI \
  | 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: ec93fd30d63964a28177a252efd05ec22d5b7128c615e1722b4e6ccdfbc9f6b6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d865ac467519209bcb096de1eaf8cf036fbf0c7a89be19ccb2268f5b7f2aa850",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-05-11T08:09:39Z",
    "title_canon_sha256": "467c633ee5daacdb462342ea7f4c9c7ba8ab1ba0d6336c7f3c1da5e6ffa4006a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.05329",
    "kind": "arxiv",
    "version": 3
  }
}