Pith Number

pith:IDXBWU2W

pith:2026:IDXBWU2WDOKWEVHCJJUYCRC4CY

not attested not anchored not stored refs pending

Spread complexity as a probe in generalized and long-range Aubry-Andre-Harper models

Aditi Sen De, Subinay Dasgupta, Tanoy Kanti Konar, Triyas Sapui

arxiv:2608.02451 v1 · 2026-08-03 · quant-ph · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDXBWU2WDOKWEVHCJJUYCRC4CY}

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	2026-08-04T02:43:32.125723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ee1b53561b956254e24a6981445c161114f6c6bb4286d75b22174e1f09989d

Aliases

arxiv: 2608.02451 · arxiv_version: 2608.02451v1 · doi: 10.48550/arxiv.2608.02451 · pith_short_12: IDXBWU2WDOKW · pith_short_16: IDXBWU2WDOKWEVHC · pith_short_8: IDXBWU2W

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/IDXBWU2WDOKWEVHCJJUYCRC4CY \
  | 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: 40ee1b53561b956254e24a6981445c161114f6c6bb4286d75b22174e1f09989d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0547f86483443a242a23fef963629d007efccc9dc6ab9a8e1647cc9a6198d8c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-03T16:26:30Z",
    "title_canon_sha256": "6ba802ef8b77d683f2a91812b62c23184c0acc6a0b3063c988c4b8e92ff24c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02451",
    "kind": "arxiv",
    "version": 1
  }
}