Pith Number

pith:5NNTO5BZ

pith:2017:5NNTO5BZALNRRPCZZGYHT7F2AZ

not attested not anchored not stored refs pending

Gradient descent with nonconvex constraints: local concavity determines convergence

Rina Foygel Barber, Wooseok Ha

arxiv:1703.07755 v3 · 2017-03-22 · 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{5NNTO5BZALNRRPCZZGYHT7F2AZ}

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	2026-05-18T00:32:31.062730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb5b37743902db18bc59c9b079fcba0645de7dde335077ea4d3099ed5a9e71ef

Aliases

arxiv: 1703.07755 · arxiv_version: 1703.07755v3 · doi: 10.48550/arxiv.1703.07755 · pith_short_12: 5NNTO5BZALNR · pith_short_16: 5NNTO5BZALNRRPCZ · pith_short_8: 5NNTO5BZ

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/5NNTO5BZALNRRPCZZGYHT7F2AZ \
  | 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: eb5b37743902db18bc59c9b079fcba0645de7dde335077ea4d3099ed5a9e71ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359bfcda417c9a849bfc99d1803d8b905da3c2c6d6b5146e920b7b7c08fab2f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-22T17:18:27Z",
    "title_canon_sha256": "412761d94d3b91249fd557c7c8d6d3dd8ad4f85e1def5f250ecf16413cc588e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07755",
    "kind": "arxiv",
    "version": 3
  }
}