Pith Number

pith:S65STBP5

pith:2018:S65STBP5TWFHILC7UJHJOKWBOV

not attested not anchored not stored refs pending

Subgradient methods for sharp weakly convex functions

Courtney Paquette, Damek Davis, Dmitriy Drusvyatskiy, Kellie J. MacPhee

arxiv:1803.02461 v1 · 2018-03-06 · 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{S65STBP5TWFHILC7UJHJOKWBOV}

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	2026-05-18T00:21:50.229075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97bb2985fd9d8a742c5fa24e972ac17541c659ed3583a2d568b9736ddfd5a8f3

Aliases

arxiv: 1803.02461 · arxiv_version: 1803.02461v1 · doi: 10.48550/arxiv.1803.02461 · pith_short_12: S65STBP5TWFH · pith_short_16: S65STBP5TWFHILC7 · pith_short_8: S65STBP5

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/S65STBP5TWFHILC7UJHJOKWBOV \
  | 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: 97bb2985fd9d8a742c5fa24e972ac17541c659ed3583a2d568b9736ddfd5a8f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8ea0b512130544e330545ef4639bc593c88b533e13dd98431f034379ead665",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-06T22:49:54Z",
    "title_canon_sha256": "213dfdd8e5daefc986a3484f579c0e902f5ea8215b481e674ad2ab015bd35402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02461",
    "kind": "arxiv",
    "version": 1
  }
}