Pith Number

pith:5T5LXHDP

pith:2013:5T5LXHDPLUTHIW7XYQZMAKNMUE

not attested not anchored not stored refs pending

Universal threshold for the dynamical behavior of lattice systems with long-range interactions

Michael Kastner, Romain Bachelard

arxiv:1304.2922 v2 · 2013-04-10 · cond-mat.stat-mech · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5T5LXHDPLUTHIW7XYQZMAKNMUE}

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	2026-05-18T03:27:00.768866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecfabb9c6f5d26745bf7c432c029aca1361631d7f20f6245cd57ac4886e365c9

Aliases

arxiv: 1304.2922 · arxiv_version: 1304.2922v2 · doi: 10.48550/arxiv.1304.2922 · pith_short_12: 5T5LXHDPLUTH · pith_short_16: 5T5LXHDPLUTHIW7X · pith_short_8: 5T5LXHDP

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/5T5LXHDPLUTHIW7XYQZMAKNMUE \
  | 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: ecfabb9c6f5d26745bf7c432c029aca1361631d7f20f6245cd57ac4886e365c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29426253a73b3481c23af5302fc90439dac67de135c53f475b48ca20db3ed0f0",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-04-10T12:12:02Z",
    "title_canon_sha256": "f21eaca1c79056c3c74cffc3059710d3883692662bdd0f40738d1318cdeceddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2922",
    "kind": "arxiv",
    "version": 2
  }
}