Pith Number

pith:SHEBA43L

pith:2012:SHEBA43LOH77CCX5BUV7XC5LAG

not attested not anchored not stored refs pending

Lagrange duality, stability and subdifferentials in vector optimization

Andreas L\"ohne, Christiane Tammer, Elvira Hern\'andez, Luis Rodr\'iguez-Mar\'in

arxiv:1211.0419 v2 · 2012-11-02 · 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{SHEBA43LOH77CCX5BUV7XC5LAG}

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	2026-05-18T02:54:54.466796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c810736b71fff10afd0d2bfb8bab0188f593786073d259512e082527b41f0d

Aliases

arxiv: 1211.0419 · arxiv_version: 1211.0419v2 · doi: 10.48550/arxiv.1211.0419 · pith_short_12: SHEBA43LOH77 · pith_short_16: SHEBA43LOH77CCX5 · pith_short_8: SHEBA43L

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/SHEBA43LOH77CCX5BUV7XC5LAG \
  | 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: 91c810736b71fff10afd0d2bfb8bab0188f593786073d259512e082527b41f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2839e9afbee70971206445d59d762f31527bb50da910a3e93eb5a8a6a6a214b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-02T11:26:09Z",
    "title_canon_sha256": "f2033a8e89176b981b32617d0ee53d380c4b8a9361c627d291dc827ebdb92ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0419",
    "kind": "arxiv",
    "version": 2
  }
}