Pith Number

pith:YLZPJMTL

pith:2026:YLZPJMTLXAEXIQQNH5XN2X5OHU

not attested not anchored not stored refs pending

FRSB in the SK spin glass: convergence to full-interval support at zero temperature

Hong-Bin Chen

arxiv:2607.18032 v1 · 2026-07-20 · 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{YLZPJMTLXAEXIQQNH5XN2X5OHU}

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

1 paper in Pith

On the Gardner Transition in the Ising Pure $p$-Spin Glass II

Receipt and verification

First computed	2026-07-21T02:22:12.630868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f2f4b26bb80974420d3f6edd5fae3d196a2679e80e198676a299ba45d0dfc1

Aliases

arxiv: 2607.18032 · arxiv_version: 2607.18032v1 · doi: 10.48550/arxiv.2607.18032 · pith_short_12: YLZPJMTLXAEX · pith_short_16: YLZPJMTLXAEXIQQN · pith_short_8: YLZPJMTL

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/YLZPJMTLXAEXIQQNH5XN2X5OHU \
  | 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: c2f2f4b26bb80974420d3f6edd5fae3d196a2679e80e198676a299ba45d0dfc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2fdcbff9327c69be44127bb5a41e8b4e6dc52cadbf49a5a8caf0d28e56a7b7d",
    "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": "2026-07-20T15:00:32Z",
    "title_canon_sha256": "6c08ca64dd36681ac00cb1aadf9f402208a6cda1a5c689679ccb9ebf6be6d16b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18032",
    "kind": "arxiv",
    "version": 1
  }
}