Pith Number

pith:UOLROU5F

pith:2022:UOLROU5F4GNDG5VF7GB5KEIK2D

not attested not anchored not stored refs pending

On the superposition principle and non-linear response in spin glasses

A. Cruz, A. Gordillo-Guerrero, A. Maiorano, A. Mu\~noz-Sudupe, A.Tarancon, B. Seoane, C. Cummings, D. I\~niguez, D. L. Schlagel, D. Navarro, D. Yllanes, E. Calore, E. Marinari, F. Ricci-Tersenghi, G. G. Kenning, G. Parisi, I. Gonzalez-Adalid Pemartin, I. Paga, J. J. Ruiz-Lorenzo, J. M. Gil-Narvion, J. Moreno-Gordo, L. A. Fernandez, M.Baity-Jesi, Q. Zhai, R. L. Orbach, S. F. Schifano, S. Perez-Gaviro, V. Martin-Mayor

arxiv:2207.10640 v3 · 2022-07-21 · 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{UOLROU5F4GNDG5VF7GB5KEIK2D}

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	2026-07-05T06:24:24.664894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3971753a5e19a3376a5f983d5110ad0f7fe7952819f14720701a161110b2fc7

Aliases

arxiv: 2207.10640 · arxiv_version: 2207.10640v3 · doi: 10.48550/arxiv.2207.10640 · pith_short_12: UOLROU5F4GND · pith_short_16: UOLROU5F4GNDG5VF · pith_short_8: UOLROU5F

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/UOLROU5F4GNDG5VF7GB5KEIK2D \
  | 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: a3971753a5e19a3376a5f983d5110ad0f7fe7952819f14720701a161110b2fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d974365b2d897ecadbc96233afa17a55886b81b27e3244fa132907f25e4ca8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2022-07-21T17:49:31Z",
    "title_canon_sha256": "4cc4539998e183f7153414f71345c8c266f196f6dfd78f11ed58fac9b5238f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.10640",
    "kind": "arxiv",
    "version": 3
  }
}