Pith Number

pith:4MQLOX2Z

pith:2020:4MQLOX2ZH5ZMDENIT576FA7CKX

not attested not anchored not stored refs pending

Stochastic optimization over proximally smooth sets

Damek Davis, Dmitriy Drusvyatskiy, Zhan Shi

arxiv:2002.06309 v1 · 2020-02-15 · 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{4MQLOX2ZH5ZMDENIT576FA7CKX}

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	2026-07-05T10:02:38.396570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e320b75f593f72c191a89f7fe283e255f10275e23529efe97076f9749e7ff5c6

Aliases

arxiv: 2002.06309 · arxiv_version: 2002.06309v1 · doi: 10.48550/arxiv.2002.06309 · pith_short_12: 4MQLOX2ZH5ZM · pith_short_16: 4MQLOX2ZH5ZMDENI · pith_short_8: 4MQLOX2Z

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/4MQLOX2ZH5ZMDENIT576FA7CKX \
  | 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: e320b75f593f72c191a89f7fe283e255f10275e23529efe97076f9749e7ff5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a713aecc5b3426f22863d91ae71a1c0587622b093d5a27c322318c89a172a119",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-02-15T03:15:25Z",
    "title_canon_sha256": "9e491ee849b4df4954a90bc67cdc95ca4be1f5ddc4de2a7bc35cbe36dbecaed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.06309",
    "kind": "arxiv",
    "version": 1
  }
}