Pith Number

pith:RMXOOLTX

pith:2022:RMXOOLTXYDJMFRWRS6OXVHAWKW

not attested not anchored not stored refs pending

High temperature TAP upper bound for the free energy of mean field spin glasses

David Belius

arxiv:2204.00681 v1 · 2022-04-01 · 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{RMXOOLTXYDJMFRWRS6OXVHAWKW}

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	2026-07-05T04:10:54.973400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2ee72e77c0d2c2c6d1979d7a9c1655b9d25ebf873d0d4a372a5116f42c86de

Aliases

arxiv: 2204.00681 · arxiv_version: 2204.00681v1 · doi: 10.48550/arxiv.2204.00681 · pith_short_12: RMXOOLTXYDJM · pith_short_16: RMXOOLTXYDJMFRWR · pith_short_8: RMXOOLTX

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/RMXOOLTXYDJMFRWRS6OXVHAWKW \
  | 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: 8b2ee72e77c0d2c2c6d1979d7a9c1655b9d25ebf873d0d4a372a5116f42c86de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e00dd007e4f6335f489e7203684c56661b653e20a1d247391a3ce69dde37cb54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-04-01T19:55:40Z",
    "title_canon_sha256": "1479a2ab8c78d9cd7e5df62b1b0f2df913ff0d631ce16339c80491166826b3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.00681",
    "kind": "arxiv",
    "version": 1
  }
}