Pith Number

pith:3Q6NH5DA

pith:2016:3Q6NH5DAXW7E7YVJG6IV3B4RDB

not attested not anchored not stored refs pending

The Physical Systems Behind Optimization Algorithms

Lin F. Yang, R. Arora, Tuo Zhao, V. Braverman

arxiv:1612.02803 v5 · 2016-12-08 · cs.LG · math.OC · 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{3Q6NH5DAXW7E7YVJG6IV3B4RDB}

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	2026-05-18T00:02:22.652664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc3cd3f460bdbe4fe2a937915d8791186e066cecc46500b47fce5f8ef3db227e

Aliases

arxiv: 1612.02803 · arxiv_version: 1612.02803v5 · doi: 10.48550/arxiv.1612.02803 · pith_short_12: 3Q6NH5DAXW7E · pith_short_16: 3Q6NH5DAXW7E7YVJ · pith_short_8: 3Q6NH5DA

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/3Q6NH5DAXW7E7YVJG6IV3B4RDB \
  | 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: dc3cd3f460bdbe4fe2a937915d8791186e066cecc46500b47fce5f8ef3db227e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99926cc40475083b2c6d446a25ac6217ba59d07ec15a63017f93fde6509695bd",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-12-08T20:36:30Z",
    "title_canon_sha256": "1a50f4e07226990ec58b76a1f10afdb9ffd710c6b355dd7e7792a0187f0ced6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02803",
    "kind": "arxiv",
    "version": 5
  }
}