Pith Number

pith:TMDDR7XC

pith:2026:TMDDR7XCSHSLMPI3FG7DQHQK2S

not attested not anchored not stored refs pending

The quantum Almeida-Thouless line in the self-overlap-corrected quantum Sherrington-Kirkpatrick model

Chokri Manai, Simone Warzel

arxiv:2605.19800 v1 · 2026-05-19 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMDDR7XCSHSLMPI3FG7DQHQK2S}

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	2026-05-20T01:06:14.701051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0638fee291e4b63d1b29be381e0ad4949bda11dfa9368c6c9f92e710f1a1cd

Aliases

arxiv: 2605.19800 · arxiv_version: 2605.19800v1 · doi: 10.48550/arxiv.2605.19800 · pith_short_12: TMDDR7XCSHSL · pith_short_16: TMDDR7XCSHSLMPI3 · pith_short_8: TMDDR7XC

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/TMDDR7XCSHSLMPI3FG7DQHQK2S \
  | 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: 9b0638fee291e4b63d1b29be381e0ad4949bda11dfa9368c6c9f92e710f1a1cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89f08af3400a06cfe307784b37d61c9fb51b9a23c9e47eee5cd0fd13761ca739",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-19T13:00:24Z",
    "title_canon_sha256": "2b53b7da2ec3146d09a1d45e66c8377d6c303aff1454832264f676d21140eacc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19800",
    "kind": "arxiv",
    "version": 1
  }
}