Pith Number

pith:5A7WTTHP

pith:2025:5A7WTTHPXYFOFC3ELPGMBZDE7N

not attested not anchored not stored refs pending

Exact algorithms for quadratic optimization over roots of unity

Ahmad Al-Sulami, Hamza Fawzi, Shengding Sun

arxiv:2508.02006 v1 · 2025-08-04 · 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{5A7WTTHPXYFOFC3ELPGMBZDE7N}

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	2026-07-05T11:47:49.431083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e83f69ccefbe0ae28b645bccc0e464fb7cd815f35cba786dd811423ff9dab086

Aliases

arxiv: 2508.02006 · arxiv_version: 2508.02006v1 · doi: 10.48550/arxiv.2508.02006 · pith_short_12: 5A7WTTHPXYFO · pith_short_16: 5A7WTTHPXYFOFC3E · pith_short_8: 5A7WTTHP

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/5A7WTTHPXYFOFC3ELPGMBZDE7N \
  | 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: e83f69ccefbe0ae28b645bccc0e464fb7cd815f35cba786dd811423ff9dab086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5146a3fc8392eab5f97566edd90ca6f3deb5877901f70d6c2c7ca5b3c554e122",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-04T02:50:59Z",
    "title_canon_sha256": "26998e2dbead3831bdb8b25d05f87be287c36283a82937f37887c8498c1de2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02006",
    "kind": "arxiv",
    "version": 1
  }
}