Pith Number

pith:SL2F6XAU

pith:2026:SL2F6XAUJSG74HXSJO72THFKPZ

not attested not anchored not stored refs pending

Regularized Bulk Universality versus Bounded-Disorder Nonuniversality for Annealed Complexity of Spherical $p$-Spin Landscapes

Taegyun Kim

arxiv:2607.27613 v1 · 2026-07-30 · 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{SL2F6XAUJSG74HXSJO72THFKPZ}

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	2026-07-31T01:27:28.633932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

92f45f5c144c8dfe1ef24bbfa99caa7e48c7d67501f49e571aac38ba104296de

Aliases

arxiv: 2607.27613 · arxiv_version: 2607.27613v1 · doi: 10.48550/arxiv.2607.27613 · pith_short_12: SL2F6XAUJSG7 · pith_short_16: SL2F6XAUJSG74HXS · pith_short_8: SL2F6XAU

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/SL2F6XAUJSG74HXSJO72THFKPZ \
  | 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: 92f45f5c144c8dfe1ef24bbfa99caa7e48c7d67501f49e571aac38ba104296de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c1604ffe45b22e30d4d091a4f9684abf6e9d97a3c3a19ec525f45eb883e6c8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-30T03:01:22Z",
    "title_canon_sha256": "8b1348f9d682d613cf46d527823324f780641a045811dcfc618f68528e074bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27613",
    "kind": "arxiv",
    "version": 1
  }
}