Pith Number

pith:B7SYOQL6

pith:2016:B7SYOQL6UXRW6BSC73VFYJTNPF

not attested not anchored not stored refs pending

Randomization and sparsity in huge-scale optimization on the Mirror Descent example

Alexander Gasnikov, Alexander Gornov, Anton Anikin

arxiv:1602.00594 v8 · 2016-02-01 · 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{B7SYOQL6UXRW6BSC73VFYJTNPF}

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	2026-05-18T00:55:28.585697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fe587417ea5e36f0642feea5c266d7942934f8f06e2a0a4acaebe3f43f8f4fb

Aliases

arxiv: 1602.00594 · arxiv_version: 1602.00594v8 · doi: 10.48550/arxiv.1602.00594 · pith_short_12: B7SYOQL6UXRW · pith_short_16: B7SYOQL6UXRW6BSC · pith_short_8: B7SYOQL6

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/B7SYOQL6UXRW6BSC73VFYJTNPF \
  | 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: 0fe587417ea5e36f0642feea5c266d7942934f8f06e2a0a4acaebe3f43f8f4fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c156f2c5ebaab3b6ad570f44886403a4ba9444b74b296a8b7a424dd0df5d02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-02-01T17:05:12Z",
    "title_canon_sha256": "70fed9593197f2f27469f2c8892c47afe495ea9e5b6cf29e3f38f909e5bc76b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00594",
    "kind": "arxiv",
    "version": 8
  }
}