Pith Number

pith:JPN2BZDH

pith:2009:JPN2BZDH3X7SFBEF2E4NTG4RUW

not attested not anchored not stored refs pending

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

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

arxiv:0907.2419 v3 · 2009-07-14 · 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{JPN2BZDH3X7SFBEF2E4NTG4RUW}

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	2026-05-18T04:38:50.880747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bdba0e467ddff228485d138d99b91a5ab869d08d9a9c02dc63992b3569d89d7

Aliases

arxiv: 0907.2419 · arxiv_version: 0907.2419v3 · doi: 10.48550/arxiv.0907.2419 · pith_short_12: JPN2BZDH3X7S · pith_short_16: JPN2BZDH3X7SFBEF · pith_short_8: JPN2BZDH

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/JPN2BZDH3X7SFBEF2E4NTG4RUW \
  | 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: 4bdba0e467ddff228485d138d99b91a5ab869d08d9a9c02dc63992b3569d89d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92df11a69b3fed19e07954c1b800a887a9889fb4224b74892f42a920bbb7ae87",
    "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": "2009-07-14T19:49:25Z",
    "title_canon_sha256": "ca67fb9c42e73eef4b2eeb54d2753f8a56c986c51b5b06ada6e944c395a55a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2419",
    "kind": "arxiv",
    "version": 3
  }
}