Pith Number

pith:GYLHSJZ2

pith:2025:GYLHSJZ2EPUEAAYIIHBWXPEORE

not attested not anchored not stored refs pending

Balanced multi-species spin glasses

Erik Bates, Youngtak Sohn

arxiv:2507.06522 v2 · 2025-07-09 · math.PR · cond-mat.dis-nn · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYLHSJZ2EPUEAAYIIHBWXPEORE}

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.

Cited by

2 papers in Pith

Norm Bounds for Sparse Random Tensors and Spectral Gap of Random Hypergraphs

The SK model with a sparse variance profile: free energy and AMP algorithm for TAP equations at high temperature

Receipt and verification

First computed	2026-07-05T11:43:13.255805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361679273a23e840030841c36bbc8e89247a3cdfc03463c5fcb23f59cabad8ec

Aliases

arxiv: 2507.06522 · arxiv_version: 2507.06522v2 · doi: 10.48550/arxiv.2507.06522 · pith_short_12: GYLHSJZ2EPUE · pith_short_16: GYLHSJZ2EPUEAAYI · pith_short_8: GYLHSJZ2

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/GYLHSJZ2EPUEAAYIIHBWXPEORE \
  | 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: 361679273a23e840030841c36bbc8e89247a3cdfc03463c5fcb23f59cabad8ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9221868030d706a06eac01191a8079b447e2213fe55f9eb78c9c369db6f68221",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-09T03:45:58Z",
    "title_canon_sha256": "1c26bd561951626bef44b4e1ef55ed9ecd43b087c3e0a5fd6ec715e0eb10e30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06522",
    "kind": "arxiv",
    "version": 2
  }
}