Pith Number

pith:SP5XZRKX

pith:2026:SP5XZRKXSRFYOAUAO3II4VPSHY

not attested not anchored not stored refs pending

Marked vertex search on disordered graphs with Rosenzweig-Porter phases

Rohit Kishan Ray, Sabyasachi Chakraborty, Sonjoy Majumder, Tilen Cadez

arxiv:2608.00224 v1 · 2026-07-31 · quant-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP5XZRKXSRFYOAUAO3II4VPSHY}

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	2026-08-04T00:34:26.323483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93fb7cc557944b87028076d08e55f23e20dc3864bcdefbcdc74874609cb73093

Aliases

arxiv: 2608.00224 · arxiv_version: 2608.00224v1 · doi: 10.48550/arxiv.2608.00224 · pith_short_12: SP5XZRKXSRFY · pith_short_16: SP5XZRKXSRFYOAUA · pith_short_8: SP5XZRKX

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/SP5XZRKXSRFYOAUAO3II4VPSHY \
  | 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: 93fb7cc557944b87028076d08e55f23e20dc3864bcdefbcdc74874609cb73093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cae7d6b7efdd493fda091631a08b1958a67358289876c8c797162777f1e748d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-31T19:14:19Z",
    "title_canon_sha256": "5450441413e4aa657a1734c7a940e1c9c39ad894b1dd9a42fd366f22314a6caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00224",
    "kind": "arxiv",
    "version": 1
  }
}