Pith Number

pith:343ALWDU

pith:2026:343ALWDUKNJGJRZHHICXAX5FYR

not attested not anchored not stored refs pending

Provable random-matrix spectral ramp in a static, geometrically local Hamiltonian

Matteo Ippoliti

arxiv:2606.30635 v1 · 2026-06-29 · quant-ph · cond-mat.dis-nn · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{343ALWDUKNJGJRZHHICXAX5FYR}

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	2026-06-30T02:18:23.766093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df3605d874535264c7273a05705fa5c46253ab8c8fc346072314ad5f54ea3646

Aliases

arxiv: 2606.30635 · arxiv_version: 2606.30635v1 · doi: 10.48550/arxiv.2606.30635 · pith_short_12: 343ALWDUKNJG · pith_short_16: 343ALWDUKNJGJRZH · pith_short_8: 343ALWDU

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/343ALWDUKNJGJRZHHICXAX5FYR \
  | 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: df3605d874535264c7273a05705fa5c46253ab8c8fc346072314ad5f54ea3646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f23bde3f0131605c2ceb19fb69e5c8d790bd91bd0cf64cbcb4857047a858858",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-29T17:57:57Z",
    "title_canon_sha256": "74e03232781ee0c79c12aa3d9f9998f2e6ef76cf486e48258cd30e766662ca12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30635",
    "kind": "arxiv",
    "version": 1
  }
}