Pith Number

pith:XDJBYFXG

pith:2014:XDJBYFXG6UTDCXVCETSBL4YHQC

not attested not anchored not stored refs pending

Lipschitz regularity for local minimizers of some widely degenerate problems

Lorenzo Brasco, Pierre Bousquet, Vesa Julin

arxiv:1409.2162 v1 · 2014-09-07 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDJBYFXG6UTDCXVCETSBL4YHQC}

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	2026-05-18T02:43:17.724445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d21c16e6f526315ea224e415f307808b31bc0f734a31770f59e7b71d6d4814

Aliases

arxiv: 1409.2162 · arxiv_version: 1409.2162v1 · doi: 10.48550/arxiv.1409.2162 · pith_short_12: XDJBYFXG6UTD · pith_short_16: XDJBYFXG6UTDCXVC · pith_short_8: XDJBYFXG

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/XDJBYFXG6UTDCXVCETSBL4YHQC \
  | 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: b8d21c16e6f526315ea224e415f307808b31bc0f734a31770f59e7b71d6d4814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe951b5e3eed79655f418ddd19323cb2e3a30e4d272aee1d647fc0a038e7557a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-07T20:48:32Z",
    "title_canon_sha256": "499abc45acb10fb00d6603d84bec418902bc321d61facb20a20938748e3ba61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2162",
    "kind": "arxiv",
    "version": 1
  }
}