Pith Number

pith:45WVKFG5

pith:2016:45WVKFG5RNOWTK6BTRZFW5XIPV

not attested not anchored not stored refs pending

First-order Methods for Geodesically Convex Optimization

Hongyi Zhang, Suvrit Sra

arxiv:1602.06053 v1 · 2016-02-19 · math.OC · cs.LG · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45WVKFG5RNOWTK6BTRZFW5XIPV}

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	2026-05-18T01:20:21.729830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76d5514dd8b5d69abc19c725b76e87d6b0213ad3e78b337e8268bd65b8f5a42

Aliases

arxiv: 1602.06053 · arxiv_version: 1602.06053v1 · doi: 10.48550/arxiv.1602.06053 · pith_short_12: 45WVKFG5RNOW · pith_short_16: 45WVKFG5RNOWTK6B · pith_short_8: 45WVKFG5

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/45WVKFG5RNOWTK6BTRZFW5XIPV \
  | 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: e76d5514dd8b5d69abc19c725b76e87d6b0213ad3e78b337e8268bd65b8f5a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38f7b0a17096594411c0e8254e8c4a98382d27530489e4077db7c47f81a762d",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-02-19T06:56:50Z",
    "title_canon_sha256": "30721e70daec8332e21b3dac51929afefacee5fadee7987f6954122f6c85afab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06053",
    "kind": "arxiv",
    "version": 1
  }
}