Pith Number

pith:OVJR2B6C

pith:2020:OVJR2B6CH3UKZM2I6KTTDI6TMR

not attested not anchored not stored refs pending

Follow the bisector: a simple method for multi-objective optimization

Alexandr Katrutsa, Daniil Merkulov, Ivan Oseledets, Nurislam Tursynbek

arxiv:2007.06937 v1 · 2020-07-14 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVJR2B6CH3UKZM2I6KTTDI6TMR}

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	2026-07-05T01:18:25.298874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75531d07c23ee8acb348f2a731a3d3647e7b57c18c6f6f38b864934600f21529

Aliases

arxiv: 2007.06937 · arxiv_version: 2007.06937v1 · doi: 10.48550/arxiv.2007.06937 · pith_short_12: OVJR2B6CH3UK · pith_short_16: OVJR2B6CH3UKZM2I · pith_short_8: OVJR2B6C

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/OVJR2B6CH3UKZM2I6KTTDI6TMR \
  | 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: 75531d07c23ee8acb348f2a731a3d3647e7b57c18c6f6f38b864934600f21529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cebf23a8fc4f025415bdb8b6ccd714c5726d345886694a44d6b9ac865148425",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-07-14T09:50:33Z",
    "title_canon_sha256": "25478e494f7d430f00961f21c3ab0a0f102d452d4cb41718cca3c51a1a8ae1a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06937",
    "kind": "arxiv",
    "version": 1
  }
}