Pith Number

pith:47PPMLKO

pith:2018:47PPMLKO7ME5WZH2LDLH27MGVX

not attested not anchored not stored refs pending

Brezis pseudomonotonicity is strictly weaker than Ky-Fan hemicontinuity

Daniel Steck

arxiv:1810.03995 v1 · 2018-10-09 · math.FA · 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{47PPMLKO7ME5WZH2LDLH27MGVX}

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	2026-05-18T00:03:44.126464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7def62d4efb09db64fa58d67d7d86adebe1c1f0a7c05d5d595e434b6a068f41

Aliases

arxiv: 1810.03995 · arxiv_version: 1810.03995v1 · doi: 10.48550/arxiv.1810.03995 · pith_short_12: 47PPMLKO7ME5 · pith_short_16: 47PPMLKO7ME5WZH2 · pith_short_8: 47PPMLKO

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/47PPMLKO7ME5WZH2LDLH27MGVX \
  | 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: e7def62d4efb09db64fa58d67d7d86adebe1c1f0a7c05d5d595e434b6a068f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9abe4d1af43d7f5ad456381a7f5aea010c7a9fdd64c78ee0257f5a5cb3b274f5",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-09T14:01:32Z",
    "title_canon_sha256": "913b0d08a58b26b6925f3c7e6e7757ed93233df4660cd12ca983e9b2d2ff5072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03995",
    "kind": "arxiv",
    "version": 1
  }
}