Pith Number

pith:5G4K6G6L

pith:2026:5G4K6G6LVZ53WKMNG4HSPPI2FD

not attested not anchored not stored refs pending

Principles of Quantum Optimization for Constrained Problems

Achim Kempf, Einar Gabbassov, Gurpahul Singh

arxiv:2607.14227 v1 · 2026-07-15 · quant-ph · 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{5G4K6G6LVZ53WKMNG4HSPPI2FD}

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	2026-07-17T00:20:59.221721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b8af1bcbae7bbb298d370f27bd1a28c3d382e5b1dc670c2c238876a75d3372

Aliases

arxiv: 2607.14227 · arxiv_version: 2607.14227v1 · doi: 10.48550/arxiv.2607.14227 · pith_short_12: 5G4K6G6LVZ53 · pith_short_16: 5G4K6G6LVZ53WKMN · pith_short_8: 5G4K6G6L

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/5G4K6G6LVZ53WKMNG4HSPPI2FD \
  | 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: e9b8af1bcbae7bbb298d370f27bd1a28c3d382e5b1dc670c2c238876a75d3372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af4bfe57a3a2293dd12562d9be3778ffb13d45091e25975d3e10a6f9c620798",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-15T18:00:31Z",
    "title_canon_sha256": "0931b74110e94ab7da41518bfe85d1fb9bd013fe4a6bf897ca5c16b8f4e18517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14227",
    "kind": "arxiv",
    "version": 1
  }
}