Pith Number

pith:6F7SM3AK

pith:2018:6F7SM3AKCH6VAX4V34D2ARLWLQ

not attested not anchored not stored refs pending

Analysis and Performance of the Barzilai-Borwein Step-Size Rules for Optimization Problems in Hilbert Spaces

Behzad Azmi, Karl Kunisch

arxiv:1806.10974 v1 · 2018-06-28 · 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{6F7SM3AKCH6VAX4V34D2ARLWLQ}

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	2026-05-18T00:12:07.378938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f17f266c0a11fd505f95df07a045765c28f5af6b6aec9a1dd2211dd8f6847d37

Aliases

arxiv: 1806.10974 · arxiv_version: 1806.10974v1 · doi: 10.48550/arxiv.1806.10974 · pith_short_12: 6F7SM3AKCH6V · pith_short_16: 6F7SM3AKCH6VAX4V · pith_short_8: 6F7SM3AK

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/6F7SM3AKCH6VAX4V34D2ARLWLQ \
  | 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: f17f266c0a11fd505f95df07a045765c28f5af6b6aec9a1dd2211dd8f6847d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e418ddf7b31e00edf3240d8b1c9749a5ef47fd115a71514cadb5b1489101a0d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-28T13:56:17Z",
    "title_canon_sha256": "dedadd2086dc24f536d828ccaad496cd4b3b1b2c0f918110ffefcf72c84118be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10974",
    "kind": "arxiv",
    "version": 1
  }
}