Pith Number

pith:AW2LOUGW

pith:2023:AW2LOUGWJZOHXLL3CTG43BM2I4

not attested not anchored not stored refs pending

Shattering in Pure Spherical Spin Glasses

Ahmed El Alaoui, Andrea Montanari, Mark Sellke

arxiv:2307.04659 v4 · 2023-07-10 · 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{AW2LOUGWJZOHXLL3CTG43BM2I4}

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

Near-optimal shattering in the Ising pure p-spin and rarity of solutions returned by stable algorithms

Receipt and verification

First computed	2026-07-05T10:02:40.794077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b4b750d64e5c7bad7b14cdcd859a473be6375fa098b1271ba356dc27e9afeb

Aliases

arxiv: 2307.04659 · arxiv_version: 2307.04659v4 · doi: 10.48550/arxiv.2307.04659 · pith_short_12: AW2LOUGWJZOH · pith_short_16: AW2LOUGWJZOHXLL3 · pith_short_8: AW2LOUGW

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/AW2LOUGWJZOHXLL3CTG43BM2I4 \
  | 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: 05b4b750d64e5c7bad7b14cdcd859a473be6375fa098b1271ba356dc27e9afeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12177889ed02bdf5f724b11725d15802fa18fa86c90d04c8f89ab24d2118e041",
    "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": "2023-07-10T15:56:44Z",
    "title_canon_sha256": "c5b1d4cf30129f897afd6fee692c7868c1e51eb48588d6d218b97e035e7e50cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04659",
    "kind": "arxiv",
    "version": 4
  }
}