Pith Number

pith:E25IOBR7

pith:2026:E25IOBR75QOTC3ENR4KBU75C5F

not attested not anchored not stored refs pending

On the hardness of deterministic second-order optimization of functions with Lipschitz gradients

Anthony Man-Cho So, Jiewen Guan

arxiv:2607.24120 v1 · 2026-07-27 · 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{E25IOBR75QOTC3ENR4KBU75C5F}

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	2026-07-28T01:23:46.155209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ba87063fec1d316c8d8f141a7fa2e962d9e3fb479ee0a42e68687b3ba4b134

Aliases

arxiv: 2607.24120 · arxiv_version: 2607.24120v1 · doi: 10.48550/arxiv.2607.24120 · pith_short_12: E25IOBR75QOT · pith_short_16: E25IOBR75QOTC3EN · pith_short_8: E25IOBR7

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/E25IOBR75QOTC3ENR4KBU75C5F \
  | 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: 26ba87063fec1d316c8d8f141a7fa2e962d9e3fb479ee0a42e68687b3ba4b134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5582bfd3054ee6bf6a1e3c92d7e30c0ff83d32a8cb7d8e565337400fa0821a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-27T07:59:39Z",
    "title_canon_sha256": "fb73b1db1cc28f550b9c138e52c1fb18363535a097f460a79ac62f914d3b036c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24120",
    "kind": "arxiv",
    "version": 1
  }
}