Pith Number

pith:GE2XFS5Z

pith:2026:GE2XFS5Z2II36HKRTWE27VWESK

not attested not anchored not stored refs pending

Spectral Gap of the Davies Generator for the Mean-Field Heisenberg Model

Joao Basso, Kevin D. Stubbs, Lin Lin, Michael Ragone, Thiago Bergamaschi

arxiv:2607.21798 v1 · 2026-07-23 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GE2XFS5Z2II36HKRTWE27VWESK}

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	2026-07-27T00:20:21.568537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313572cbb9d211bf1d519d89afd6c4929ac4599ea644cc19b549ec02c4cff8db

Aliases

arxiv: 2607.21798 · arxiv_version: 2607.21798v1 · doi: 10.48550/arxiv.2607.21798 · pith_short_12: GE2XFS5Z2II3 · pith_short_16: GE2XFS5Z2II36HKR · pith_short_8: GE2XFS5Z

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/GE2XFS5Z2II36HKRTWE27VWESK \
  | 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: 313572cbb9d211bf1d519d89afd6c4929ac4599ea644cc19b549ec02c4cff8db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59d0d8db68594fcdef6de8d7211831c587955268f8376e8c1770ca18cc0155f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-23T20:30:28Z",
    "title_canon_sha256": "2a630d8a59f19386c98a448734f07427228ed60cda750ebf1c064a707a35f4db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21798",
    "kind": "arxiv",
    "version": 1
  }
}