Pith Number

pith:2WAAJEDE

pith:2024:2WAAJEDEUOCRCCZ5TYFSQMWC7Z

not attested not anchored not stored refs pending

Existence of de Almeida-Thouless-type instability in the transverse field Sherrington-Kirkpatrick model

C. Itoi, K. Fujiwara, Y. Sakamoto

arxiv:2403.02699 v2 · 2024-03-05 · math-ph · cond-mat.dis-nn · 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{2WAAJEDEUOCRCCZ5TYFSQMWC7Z}

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	2026-07-05T07:55:29.065949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d580049064a385110b3d9e0b2832c2fe4c1b1e8275b58470bf0d150792207d12

Aliases

arxiv: 2403.02699 · arxiv_version: 2403.02699v2 · doi: 10.48550/arxiv.2403.02699 · pith_short_12: 2WAAJEDEUOCR · pith_short_16: 2WAAJEDEUOCRCCZ5 · pith_short_8: 2WAAJEDE

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/2WAAJEDEUOCRCCZ5TYFSQMWC7Z \
  | 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: d580049064a385110b3d9e0b2832c2fe4c1b1e8275b58470bf0d150792207d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7010dabe531c5852ea0573d4eb563696c9551a1f65e800b1dd881a0e10f9d64",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-03-05T06:37:17Z",
    "title_canon_sha256": "391ebf990294515c32b5ba8bc862abb9540a23ba7d14a0a4ccebc0c819d0323e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02699",
    "kind": "arxiv",
    "version": 2
  }
}