Pith Number

pith:TVTE4OOO

pith:2013:TVTE4OOOMGGWKR5NCQPOQ3UX6X

not attested not anchored not stored refs pending

Projected Subgradient Minimization versus Superiorization

Gabor T. Herman, Luba Tetruashvili, Ran Davidi, Reinhard W. Schulte, Yair Censor

arxiv:1308.4191 v1 · 2013-08-19 · 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{TVTE4OOOMGGWKR5NCQPOQ3UX6X}

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	2026-05-18T03:15:33.506764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d664e39ce618d6547ad141ee86e97f5efc7e3fafccac9c9f58faec675d98386

Aliases

arxiv: 1308.4191 · arxiv_version: 1308.4191v1 · doi: 10.48550/arxiv.1308.4191 · pith_short_12: TVTE4OOOMGGW · pith_short_16: TVTE4OOOMGGWKR5N · pith_short_8: TVTE4OOO

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/TVTE4OOOMGGWKR5NCQPOQ3UX6X \
  | 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: 9d664e39ce618d6547ad141ee86e97f5efc7e3fafccac9c9f58faec675d98386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf7a024d7a38ba05f29e66206aabc614dcee3f371d535b55c3c85bf60dddc3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-08-19T23:49:56Z",
    "title_canon_sha256": "9ea6ea702b1070387dfe9203e34fc4347301ee072a0e45538516b676ef42e2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4191",
    "kind": "arxiv",
    "version": 1
  }
}