Pith Number

pith:Z7VDN4ZH

pith:2017:Z7VDN4ZHV4TDDXCPPRCNGV7QEJ

not attested not anchored not stored refs pending

Behavior of Accelerated Gradient Methods Near Critical Points of Nonconvex Functions

Michael O'Neill, Stephen J. Wright

arxiv:1706.07993 v3 · 2017-06-24 · 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{Z7VDN4ZHV4TDDXCPPRCNGV7QEJ}

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.

Cited by

1 paper in Pith

Dimension-Free Saddle-Point Escape in Muon

Receipt and verification

First computed	2026-05-18T00:03:56.962917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfea36f327af2631dc4f7c44d357f0225366d92b7a613dd86d5ac10c4084b067

Aliases

arxiv: 1706.07993 · arxiv_version: 1706.07993v3 · doi: 10.48550/arxiv.1706.07993 · pith_short_12: Z7VDN4ZHV4TD · pith_short_16: Z7VDN4ZHV4TDDXCP · pith_short_8: Z7VDN4ZH

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/Z7VDN4ZHV4TDDXCPPRCNGV7QEJ \
  | 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: cfea36f327af2631dc4f7c44d357f0225366d92b7a613dd86d5ac10c4084b067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539cccdd92193200147081e3af5c915a1cc5d61e6651673604cebfd540215463",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-06-24T19:06:54Z",
    "title_canon_sha256": "42e28c39871ae3214199dc7e5a3c35b0b4970431ab8ef0bc2bef095563f5c3c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07993",
    "kind": "arxiv",
    "version": 3
  }
}