Pith Number

pith:XVYQUZ7J

pith:2016:XVYQUZ7JI2A7O5RGXTWR3S7HQM

not attested not anchored not stored refs pending

The Kurdyka-{\L}ojasiewicz-Simon inequality and stabilisation in nonsmooth infinite-dimensional gradient systems

Ralph Chill, Sebastian Mildner

arxiv:1609.09337 v1 · 2016-09-29 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVYQUZ7JI2A7O5RGXTWR3S7HQM}

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	2026-05-18T01:03:38.143637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd710a67e94681f77626bced1dcbe78314acc8c9bc8798d89d1fd13c67e5e4ec

Aliases

arxiv: 1609.09337 · arxiv_version: 1609.09337v1 · doi: 10.48550/arxiv.1609.09337 · pith_short_12: XVYQUZ7JI2A7 · pith_short_16: XVYQUZ7JI2A7O5RG · pith_short_8: XVYQUZ7J

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/XVYQUZ7JI2A7O5RGXTWR3S7HQM \
  | 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: bd710a67e94681f77626bced1dcbe78314acc8c9bc8798d89d1fd13c67e5e4ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c060497d821ecf43002b7ecdf00b3c44d07bac926b3d6d0df8fa49b77e21e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-29T13:43:37Z",
    "title_canon_sha256": "93444935a661360e574c5ef5902243569c0648b1e4a80059826ba214554495d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09337",
    "kind": "arxiv",
    "version": 1
  }
}