Pith Number

pith:RTMPKYPW

pith:2011:RTMPKYPWST7B3DOXCVUAKSBTB7

not attested not anchored not stored refs pending

Proof of Rounding by Quenched Disorder of First Order Transitions in Low-Dimensional Quantum Systems

Joel L. Lebowitz, Michael Aizenman, Rafael L. Greenblatt

arxiv:1104.3515 v3 · 2011-04-18 · cond-mat.stat-mech · 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{RTMPKYPWST7B3DOXCVUAKSBTB7}

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	2026-05-18T03:36:06.664702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cd8f561f694fe1d8dd715680548330fc11e09bb77bca08cc01619b70c30a889

Aliases

arxiv: 1104.3515 · arxiv_version: 1104.3515v3 · doi: 10.48550/arxiv.1104.3515 · pith_short_12: RTMPKYPWST7B · pith_short_16: RTMPKYPWST7B3DOX · pith_short_8: RTMPKYPW

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/RTMPKYPWST7B3DOXCVUAKSBTB7 \
  | 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: 8cd8f561f694fe1d8dd715680548330fc11e09bb77bca08cc01619b70c30a889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489fcdb9cfba356245f31922a5fa11be6e74a6a41add9d41a1a85d23e88b6f05",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-18T15:20:59Z",
    "title_canon_sha256": "1fa2d970e01b42dcc9a4656f1e607f02ac531448b34709d6588d714521d41804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3515",
    "kind": "arxiv",
    "version": 3
  }
}