Pith Number

pith:KTJ2AQZF

pith:2016:KTJ2AQZFPJ6YIGAP7DGYKK5PPL

not attested not anchored not stored refs pending

A variational approach to stochastic minimization of convex functionals

Miroslav Bacak

arxiv:1605.03289 v1 · 2016-05-11 · 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{KTJ2AQZFPJ6YIGAP7DGYKK5PPL}

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	2026-05-18T01:15:05.786676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d3a043257a7d84180ff8cd852baf7acce35d7740fd53af85d172ed6d5d2189

Aliases

arxiv: 1605.03289 · arxiv_version: 1605.03289v1 · doi: 10.48550/arxiv.1605.03289 · pith_short_12: KTJ2AQZFPJ6Y · pith_short_16: KTJ2AQZFPJ6YIGAP · pith_short_8: KTJ2AQZF

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/KTJ2AQZFPJ6YIGAP7DGYKK5PPL \
  | 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: 54d3a043257a7d84180ff8cd852baf7acce35d7740fd53af85d172ed6d5d2189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c952f509b7e1795d559033238afd57479239b5f247dcddea7939f6681c5b3d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-11T05:38:31Z",
    "title_canon_sha256": "22de619387138f22ecb3012df50ad3b2caa3192c5b2d986d38cd2135447fbcbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03289",
    "kind": "arxiv",
    "version": 1
  }
}