Pith Number

pith:FQZ2WRCI

pith:2026:FQZ2WRCI5VLTLRFLQG47BOKMKA

not attested not anchored not stored refs pending

An asymptotically solvable model of many-body critical phases: mobility edges, scars, and inverted scars

Sankar Das Sarma, Yi-Ting Tu, Zi-Jian Li

arxiv:2608.00157 v1 · 2026-07-31 · cond-mat.dis-nn · cond-mat.stat-mech · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQZ2WRCI5VLTLRFLQG47BOKMKA}

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	2026-08-04T00:33:05.576336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c33ab4448ed5735c4ab81b9f0b94c5035d03bb1fc4e40e96abf932322b6adf3

Aliases

arxiv: 2608.00157 · arxiv_version: 2608.00157v1 · doi: 10.48550/arxiv.2608.00157 · pith_short_12: FQZ2WRCI5VLT · pith_short_16: FQZ2WRCI5VLTLRFL · pith_short_8: FQZ2WRCI

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/FQZ2WRCI5VLTLRFLQG47BOKMKA \
  | 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: 2c33ab4448ed5735c4ab81b9f0b94c5035d03bb1fc4e40e96abf932322b6adf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc7235113b6a625c0bffe8a0ca1c83e7856c4d02e4c2b0ece61c7c691d69e65",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-07-31T18:00:00Z",
    "title_canon_sha256": "45716e8b644600f63151a46d0557e76623216ae59457d9909ecb5761f281755e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00157",
    "kind": "arxiv",
    "version": 1
  }
}