Pith Number

pith:2DOMJGBM

pith:2026:2DOMJGBMWMOOPL2XFYINWXD73S

not attested not anchored not stored refs pending

Formalization of Line Search Methods by Lean

Kenneth W. Shum, Yiyang Zhang

arxiv:2606.25412 v1 · 2026-06-24 · math.OC · cs.MS · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DOMJGBMWMOOPL2XFYINWXD73S}

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	2026-06-25T01:18:04.670694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0dcc4982cb31ce7af572e10db5c7fdc8134040e56826d39928efc359505ab22

Aliases

arxiv: 2606.25412 · arxiv_version: 2606.25412v1 · doi: 10.48550/arxiv.2606.25412 · pith_short_12: 2DOMJGBMWMOO · pith_short_16: 2DOMJGBMWMOOPL2X · pith_short_8: 2DOMJGBM

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/2DOMJGBMWMOOPL2XFYINWXD73S \
  | 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: d0dcc4982cb31ce7af572e10db5c7fdc8134040e56826d39928efc359505ab22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dab94ed15abe4e8713fb4a4eb37b4e8d2d8b074b0f378d2601145652c1d9889",
    "cross_cats_sorted": [
      "cs.MS",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-24T05:18:16Z",
    "title_canon_sha256": "510aed12b2babdf4acb3a63e2fc40f6281d6ad7143dd8db886445f55794200f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25412",
    "kind": "arxiv",
    "version": 1
  }
}