Pith Number

pith:TZFJDFMK

pith:2026:TZFJDFMKJ72LHWZHCW4CEXGEGD

not attested not anchored not stored refs pending

Mesoscopic Linear Statistics for Two Ensembles of Quantum Graphs

Anna Maltsev, Mohammed Osman

arxiv:2607.02356 v1 · 2026-07-02 · math-ph · cond-mat.dis-nn · 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{TZFJDFMKJ72LHWZHCW4CEXGEGD}

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	2026-07-03T01:17:56.522052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e4a91958a4ff4b3db2715b8225cc430f0fdf667f768587fa381484428792262

Aliases

arxiv: 2607.02356 · arxiv_version: 2607.02356v1 · doi: 10.48550/arxiv.2607.02356 · pith_short_12: TZFJDFMKJ72L · pith_short_16: TZFJDFMKJ72LHWZH · pith_short_8: TZFJDFMK

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/TZFJDFMKJ72LHWZHCW4CEXGEGD \
  | 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: 9e4a91958a4ff4b3db2715b8225cc430f0fdf667f768587fa381484428792262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd05158f470a4d05f5b3d1f4534d071a8c35854eb35703b6a324ee3e962aa348",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-02T16:00:48Z",
    "title_canon_sha256": "dba6a3b1419ec2319a51267dc87b9634ab0a6f1a972dd954de2b22b76645879f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02356",
    "kind": "arxiv",
    "version": 1
  }
}