Pith Number

pith:24P2FJLA

pith:2018:24P2FJLAJ24OGQIURUUD6ANYOW

not attested not anchored not stored refs pending

Replica symmetry breaking in multi-species Sherrington-Kirkpatrick model

Erik Bates, Leila Sloman, Youngtak Sohn

arxiv:1810.03215 v6 · 2018-10-07 · math.PR · 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{24P2FJLAJ24OGQIURUUD6ANYOW}

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

Balanced multi-species spin glasses

Receipt and verification

First computed	2026-07-05T11:33:11.545654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71fa2a5604eb8e341148d283f01b875a9b650de609d2a35f4f8fe00b7f80fff

Aliases

arxiv: 1810.03215 · arxiv_version: 1810.03215v6 · doi: 10.48550/arxiv.1810.03215 · pith_short_12: 24P2FJLAJ24O · pith_short_16: 24P2FJLAJ24OGQIU · pith_short_8: 24P2FJLA

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/24P2FJLAJ24OGQIURUUD6ANYOW \
  | 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: d71fa2a5604eb8e341148d283f01b875a9b650de609d2a35f4f8fe00b7f80fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "211b99f9a9d591b88244574b8c4f6cf289b5249db10bb3d056a5e9ffafe3838d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-07T21:59:58Z",
    "title_canon_sha256": "95be59845c6a70f951c10977c50f39d1124ef1da9722bba8f31e6f72405a79df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03215",
    "kind": "arxiv",
    "version": 6
  }
}