Pith Number

pith:VPXT6PCW

pith:2017:VPXT6PCWLGD3QNERMU2E263AY7

not attested not anchored not stored refs pending

Convergence Analysis of the Frank-Wolfe Algorithm and Its Generalization in Banach Spaces

Hong-Kun Xu

arxiv:1710.07367 v1 · 2017-10-19 · 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{VPXT6PCWLGD3QNERMU2E263AY7}

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	2026-05-18T00:32:25.043353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abef3f3c565987b8349165344d7b60c7c2d81eeeff94d0dca6952e076d64d521

Aliases

arxiv: 1710.07367 · arxiv_version: 1710.07367v1 · doi: 10.48550/arxiv.1710.07367 · pith_short_12: VPXT6PCWLGD3 · pith_short_16: VPXT6PCWLGD3QNER · pith_short_8: VPXT6PCW

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/VPXT6PCWLGD3QNERMU2E263AY7 \
  | 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: abef3f3c565987b8349165344d7b60c7c2d81eeeff94d0dca6952e076d64d521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d22264da95ec67fdbe9a0a9b120d916076cb3be7d989ed0218f799a69d5270a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-19T23:02:45Z",
    "title_canon_sha256": "a985fce6ba3c1fb717555e303aeea72d38a66d4a3fda594f5ce1da1a81cc0b93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07367",
    "kind": "arxiv",
    "version": 1
  }
}