Pith Number

pith:4M5AP66B

pith:2026:4M5AP66BHX2RDJQ7YERKWX3QAJ

not attested not anchored not stored refs pending

iSTAR: an algebraic-collapse framework for variational reduction in quantum-inspired continuous Ising solvers

Bowen Liu, Dongmei Xiao

arxiv:2607.05448 v1 · 2026-07-05 · math.NA · cs.NA · math.OC · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M5AP66BHX2RDJQ7YERKWX3QAJ}

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	2026-07-08T01:18:10.304196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e33a07fbc13df511a61fc122ab5f70024d3a050cbac3d5f65dd6166f20a5f122

Aliases

arxiv: 2607.05448 · arxiv_version: 2607.05448v1 · doi: 10.48550/arxiv.2607.05448 · pith_short_12: 4M5AP66BHX2R · pith_short_16: 4M5AP66BHX2RDJQ7 · pith_short_8: 4M5AP66B

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/4M5AP66BHX2RDJQ7YERKWX3QAJ \
  | 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: e33a07fbc13df511a61fc122ab5f70024d3a050cbac3d5f65dd6166f20a5f122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c98db2f858bee6517eaa097d45e5374c2c7ad81810b8011698b61c6b806f5565",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-05T02:02:19Z",
    "title_canon_sha256": "b7dff21db2323ea3e045e08c000628346b951759031b75d3e55205c3998c0b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05448",
    "kind": "arxiv",
    "version": 1
  }
}