Pith Number

pith:6WXQMNVA

pith:2026:6WXQMNVABBMOGVBMIRWKBMTDEN

not attested not anchored not stored refs pending

Hierarchical separation of relaxation timescales from spectral localization bounds

Alex Stewart-Bozzo, Brett Min, Dvira Segal, Jakub Garwo{\l}a

arxiv:2606.20860 v1 · 2026-06-18 · 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{6WXQMNVABBMOGVBMIRWKBMTDEN}

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	2026-06-23T00:12:01.078289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5af0636a00858e3542c446ca0b26323450a7517f7fa5f517ad7eb6bc0a8825d

Aliases

arxiv: 2606.20860 · arxiv_version: 2606.20860v1 · doi: 10.48550/arxiv.2606.20860 · pith_short_12: 6WXQMNVABBMO · pith_short_16: 6WXQMNVABBMOGVBM · pith_short_8: 6WXQMNVA

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/6WXQMNVABBMOGVBMIRWKBMTDEN \
  | 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: f5af0636a00858e3542c446ca0b26323450a7517f7fa5f517ad7eb6bc0a8825d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71b55f013f96cde18af55c6ed84eaf296395261849e7bb4f096d9a35a31e26e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-18T18:48:44Z",
    "title_canon_sha256": "92e2ddf5dbbaa825b65a3ccc9cafa65f62d0a68dc115d910cd3209d9fe62ed14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20860",
    "kind": "arxiv",
    "version": 1
  }
}