Pith Number

pith:Q64IORL4

pith:2013:Q64IORL4NATUXJSSBCDDQM5RBU

not attested not anchored not stored refs pending

Subgradient Algorithm, Stochastic Subgradient Algorithm, Incremental Subgradient Algorithm, and Set Location Problems

Han Le, Nguyen Mau Nam, Nguyen Thai An

arxiv:1303.3735 v3 · 2013-03-15 · 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{Q64IORL4NATUXJSSBCDDQM5RBU}

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	2026-05-18T03:04:13.871403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b887457c68274ba65208863833b10d0fccc6305b7bb4cf3463f140b4feb860

Aliases

arxiv: 1303.3735 · arxiv_version: 1303.3735v3 · doi: 10.48550/arxiv.1303.3735 · pith_short_12: Q64IORL4NATU · pith_short_16: Q64IORL4NATUXJSS · pith_short_8: Q64IORL4

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/Q64IORL4NATUXJSSBCDDQM5RBU \
  | 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: 87b887457c68274ba65208863833b10d0fccc6305b7bb4cf3463f140b4feb860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e804dc343cc6364cc9e1e2defdd25666abc556e562581c62aac3fc249aacc4af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-15T11:18:56Z",
    "title_canon_sha256": "c9c3420fe943a117ad199f82cc84e2006bf50c4ed49a7f2f1e710adc3fabf949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3735",
    "kind": "arxiv",
    "version": 3
  }
}