Pith Number

pith:EPECPXA3

pith:2019:EPECPXA3ZUL374ZBAGYB6ZKGU4

not attested not anchored not stored refs pending

Second order optimality conditions for strong local minimizers via subgradient graphical derivative

Ha Anh Tuan, Le Van Hien, Nguyen Huy Chieu, Tran T. A. Nghia

arxiv:1903.05746 v1 · 2019-03-13 · 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{EPECPXA3ZUL374ZBAGYB6ZKGU4}

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	2026-05-17T23:51:16.359613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c827dc1bcd17bff32101b01f6546a721f04d7594764b3626140a5182b693d6

Aliases

arxiv: 1903.05746 · arxiv_version: 1903.05746v1 · doi: 10.48550/arxiv.1903.05746 · pith_short_12: EPECPXA3ZUL3 · pith_short_16: EPECPXA3ZUL374ZB · pith_short_8: EPECPXA3

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/EPECPXA3ZUL374ZBAGYB6ZKGU4 \
  | 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: 23c827dc1bcd17bff32101b01f6546a721f04d7594764b3626140a5182b693d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2926105a10b25f74c8dafdacbd6515cc74c8cf181b2e42dabe8ed08ae08dbf89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-03-13T22:40:02Z",
    "title_canon_sha256": "23a82665a1146088572a10bc74559c23b9aa8fe092a80ce1e143c43af8267c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05746",
    "kind": "arxiv",
    "version": 1
  }
}