Pith Number

pith:QPXL7LR4

pith:2026:QPXL7LR4PNPPYZYFOSCIWNKB3E

not attested not anchored not stored refs pending

Localization of quantum systems at Liouville tori

Ood Shabtai

arxiv:2607.23864 v1 · 2026-07-26 · math-ph · math.MP · math.SG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPXL7LR4PNPPYZYFOSCIWNKB3E}

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	2026-07-28T01:23:15.079099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83eebfae3c7b5efc670574848b3541d90705648241a0c3c67ba83d77ca207e6b

Aliases

arxiv: 2607.23864 · arxiv_version: 2607.23864v1 · doi: 10.48550/arxiv.2607.23864 · pith_short_12: QPXL7LR4PNPP · pith_short_16: QPXL7LR4PNPPYZYF · pith_short_8: QPXL7LR4

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/QPXL7LR4PNPPYZYFOSCIWNKB3E \
  | 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: 83eebfae3c7b5efc670574848b3541d90705648241a0c3c67ba83d77ca207e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e577c231ba3c266582a1e7576bc780af45b29b1b9024680c5b64a0d4318945e",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-26T22:14:43Z",
    "title_canon_sha256": "23aa3b561013229e1a8408cc8efbb40e8bd98ed5cedbdaff7d805efebcf3dfd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23864",
    "kind": "arxiv",
    "version": 1
  }
}