Pith. sign in
Pith Number

pith:5PGBNVSC

pith:2022:5PGBNVSCHQEUTSHO43LHE2C4TL
not attested not anchored not stored refs pending

Elliptic homogenization from qualitative to quantitative

Scott Armstrong, Tuomo Kuusi

arxiv:2210.06488 v2 · 2022-10-12 · math.AP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5PGBNVSCHQEUTSHO43LHE2C4TL}

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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

5 papers in Pith

Receipt and verification
First computed 2026-07-05T09:08:18.750354Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ebcc16d6423c0949c8eee6d672685c9ac9311c6985d815b0c1ed0c2c90816b11

Aliases

arxiv: 2210.06488 · arxiv_version: 2210.06488v2 · doi: 10.48550/arxiv.2210.06488 · pith_short_12: 5PGBNVSCHQEU · pith_short_16: 5PGBNVSCHQEUTSHO · pith_short_8: 5PGBNVSC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5PGBNVSCHQEUTSHO43LHE2C4TL \
  | 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: ebcc16d6423c0949c8eee6d672685c9ac9311c6985d815b0c1ed0c2c90816b11
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bfadd9297344d5d237304df042db728c7a68bf656f85e734dc1f8956cfe6054c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-10-12T18:00:00Z",
    "title_canon_sha256": "71371cbd7c64685454071cfa58c44b1cf3f4a2ff71bf331a6c20057903e6153a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.06488",
    "kind": "arxiv",
    "version": 2
  }
}