Pith Number

pith:42W3RUMP

pith:2017:42W3RUMPPERD72OI7GJEM6SHTJ

not attested not anchored not stored refs pending

"Relative-Continuity" for Non-Lipschitz Non-Smooth Convex Optimization using Stochastic (or Deterministic) Mirror Descent

Haihao Lu

arxiv:1710.04718 v3 · 2017-10-12 · 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{42W3RUMPPERD72OI7GJEM6SHTJ}

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	2026-05-18T00:08:15.876937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6adb8d18f79223fe9c8f992467a479a6648c66e431ce276a00e5b50e464c23b

Aliases

arxiv: 1710.04718 · arxiv_version: 1710.04718v3 · doi: 10.48550/arxiv.1710.04718 · pith_short_12: 42W3RUMPPERD · pith_short_16: 42W3RUMPPERD72OI · pith_short_8: 42W3RUMP

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/42W3RUMPPERD72OI7GJEM6SHTJ \
  | 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: e6adb8d18f79223fe9c8f992467a479a6648c66e431ce276a00e5b50e464c23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b51402f3670b71b8d48e75a4169a686647200bc3b68fa28ac4e1b65880b1392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-12T20:56:25Z",
    "title_canon_sha256": "c233d01e7d72088fa53529877e30c8c7bc57130302f31fd14fb24d5812a6d2eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04718",
    "kind": "arxiv",
    "version": 3
  }
}