Pith Number

pith:EMAVQE72

pith:2026:EMAVQE72YMN4KUUTGLM7VLZGOO

not attested not anchored not stored refs pending

Lower bound on the mixing time of $p$-spin glasses

Anouar Kouraich, Simone Warzel

arxiv:2605.14681 v1 · 2026-05-14 · 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{EMAVQE72YMN4KUUTGLM7VLZGOO}

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	2026-05-17T23:39:01.985558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23015813fac31bc5529332d9faaf267392a1224adff1177acf31c991f29984b4

Aliases

arxiv: 2605.14681 · arxiv_version: 2605.14681v1 · doi: 10.48550/arxiv.2605.14681 · pith_short_12: EMAVQE72YMN4 · pith_short_16: EMAVQE72YMN4KUUT · pith_short_8: EMAVQE72

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/EMAVQE72YMN4KUUTGLM7VLZGOO \
  | 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: 23015813fac31bc5529332d9faaf267392a1224adff1177acf31c991f29984b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8c38276548c1ebf3e99b69de38bf07ec553b194cf904ea6d72af5b756c3253",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-14T10:52:06Z",
    "title_canon_sha256": "b1dbb119aa02ecf535a43c16ead476b4f63a4e407d59d7368bbbc4fc64c8b6fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14681",
    "kind": "arxiv",
    "version": 1
  }
}