Pith Number

pith:IIZLTKAK

pith:2026:IIZLTKAKKYUKO7MA272OMELLKA

not attested not anchored not stored refs pending

Analytic Spread Complexity from Level Statistics: From Chaos to Integrability

Bigboy Madlala, Pallab Basu, Suman Das

arxiv:2608.07412 v1 · 2026-08-07 · hep-th · 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{IIZLTKAKKYUKO7MA272OMELLKA}

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	2026-08-10T01:15:18.132593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4232b9a80a5628a77d80d7f4e6116b5002b0061ba194376b9c40cf2ac5726017

Aliases

arxiv: 2608.07412 · arxiv_version: 2608.07412v1 · doi: 10.48550/arxiv.2608.07412 · pith_short_12: IIZLTKAKKYUK · pith_short_16: IIZLTKAKKYUKO7MA · pith_short_8: IIZLTKAK

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/IIZLTKAKKYUKO7MA272OMELLKA \
  | 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: 4232b9a80a5628a77d80d7f4e6116b5002b0061ba194376b9c40cf2ac5726017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2d5d05ed4b0516f57424539e683a81a630a28096693d5767c38ce475bc5874",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-07T16:59:35Z",
    "title_canon_sha256": "5dd669f38120b1071a568fc524e226798eee7a0293d362b2023ad6883c92e8fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07412",
    "kind": "arxiv",
    "version": 1
  }
}