Pith Number

pith:5MSPPGJA

pith:2026:5MSPPGJAVTSIOI5W2RW677ZQPP

not attested not anchored not stored refs pending

Mixed precision Newton's method for optimization

CNRS), Elisa Riccietti (OCKHAM), Giuseppe Carrino (OCKHAM), Nicolas Brisebarre (LIP, Theo Mary (PEQUAN)

arxiv:2607.04828 v1 · 2026-07-06 · 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{5MSPPGJAVTSIOI5W2RW677ZQPP}

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	2026-07-07T02:20:05.914831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb24f79920ace48723b6d46defff307bcba19acf26f39f0dece0ceb83caf21b8

Aliases

arxiv: 2607.04828 · arxiv_version: 2607.04828v1 · doi: 10.48550/arxiv.2607.04828 · pith_short_12: 5MSPPGJAVTSI · pith_short_16: 5MSPPGJAVTSIOI5W · pith_short_8: 5MSPPGJA

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/5MSPPGJAVTSIOI5W2RW677ZQPP \
  | 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: eb24f79920ace48723b6d46defff307bcba19acf26f39f0dece0ceb83caf21b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da028d2608bf396f63684a4f0fdd2dd8dc4ebf23b90fa7987db9a9387db4ffbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-06T09:02:09Z",
    "title_canon_sha256": "dc34ea165c8e99dd332d192d0ab4284023acb38c36e6d148c78d37939a5bf11b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04828",
    "kind": "arxiv",
    "version": 1
  }
}