Pith. sign in
Pith Number

pith:5GTKWJLK

pith:2020:5GTKWJLKGQVNUWY3FSZ6GH6BTM
not attested not anchored not stored refs pending

A \L{}ojasiewicz inequality for ALE metrics

Alix Deruelle, Tristan Ozuch

arxiv:2007.09937 v1 · 2020-07-20 · math.DG · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5GTKWJLKGQVNUWY3FSZ6GH6BTM}

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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

2 papers in Pith

Receipt and verification
First computed 2026-07-05T01:20:30.655253Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e9a6ab256a342ada5b1b2cb3e31fc19b06cfed405340a39ed6019adfb3ad0954

Aliases

arxiv: 2007.09937 · arxiv_version: 2007.09937v1 · doi: 10.48550/arxiv.2007.09937 · pith_short_12: 5GTKWJLKGQVN · pith_short_16: 5GTKWJLKGQVNUWY3 · pith_short_8: 5GTKWJLK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5GTKWJLKGQVNUWY3FSZ6GH6BTM \
  | 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: e9a6ab256a342ada5b1b2cb3e31fc19b06cfed405340a39ed6019adfb3ad0954
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "59a501ed5d99382ed0ba72943c07df69b23dd0f9fa5077a9972fd6f0f5b9650f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-07-20T08:34:52Z",
    "title_canon_sha256": "f4e1b5132e21f0068e53f5bb246cbb8ec7ca390dd65bacb4b65c373d60715f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09937",
    "kind": "arxiv",
    "version": 1
  }
}