Pith Number

pith:LNQEHPMW

pith:2023:LNQEHPMWNURAL5PD6ZB77C3YSH

not attested not anchored not stored refs pending

A Constructive Proof of the Spherical Parisi Formula

Brice Huang, Mark Sellke

arxiv:2311.15495 v3 · 2023-11-27 · 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{LNQEHPMWNURAL5PD6ZB77C3YSH}

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

The Legendre structure of the TAP complexity for the Ising spin glass

Receipt and verification

First computed	2026-07-05T08:14:19.722363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6043bd966d2205f5e3f643ff8b7891d0365fca2bd4f95adf60af0e0ae608c0

Aliases

arxiv: 2311.15495 · arxiv_version: 2311.15495v3 · doi: 10.48550/arxiv.2311.15495 · pith_short_12: LNQEHPMWNURA · pith_short_16: LNQEHPMWNURAL5PD · pith_short_8: LNQEHPMW

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/LNQEHPMWNURAL5PD6ZB77C3YSH \
  | 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: 5b6043bd966d2205f5e3f643ff8b7891d0365fca2bd4f95adf60af0e0ae608c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f901dadb78f92a92c6223ed23721e857feb0482295267ed36089b73a225767",
    "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": "2023-11-27T02:36:15Z",
    "title_canon_sha256": "53b8c27d37379af4952da66a209b910a1c4d2f4c14c2e339935da7d089d9a08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15495",
    "kind": "arxiv",
    "version": 3
  }
}