Pith Number

pith:UMAPBI7M

pith:2025:UMAPBI7M77TOGL4G2TUYAUTNBF

not attested not anchored not stored refs pending

Stabilizer-Shannon Renyi Equivalence: Exact Results for Quantum Critical Chains

E. A. Ramirez Trino, M. A. Rajabpour

arxiv:2509.10700 v3 · 2025-09-12 · quant-ph · 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{UMAPBI7M77TOGL4G2TUYAUTNBF}

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	2026-05-25T02:02:08.979005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a300f0a3ecffe6e32f86d4e980526d096b964c6ac597b1a66f11544a2d9a01b4

Aliases

arxiv: 2509.10700 · arxiv_version: 2509.10700v3 · doi: 10.48550/arxiv.2509.10700 · pith_short_12: UMAPBI7M77TO · pith_short_16: UMAPBI7M77TOGL4G · pith_short_8: UMAPBI7M

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/UMAPBI7M77TOGL4G2TUYAUTNBF \
  | 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: a300f0a3ecffe6e32f86d4e980526d096b964c6ac597b1a66f11544a2d9a01b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e579349b7a285018c896db1d0eeac7b262e01542c0e39a6029a7c8482eaf26",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-12T21:32:10Z",
    "title_canon_sha256": "9a836708b653a32bb7ef0f7280f22820089b1e5a803a5922425c5264ec7ae43a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10700",
    "kind": "arxiv",
    "version": 3
  }
}