Pith. sign in
Pith Number

pith:FENQDPJ7

pith:2024:FENQDPJ7GTUHXBRQPDJO7Z6WYC
not attested not anchored not stored refs pending

1d Ising model with $1/r^{1.99}$ interaction

Dalimil Maz\'a\v{c}, Dario Benedetti, Edoardo Lauria, Philine van Vliet

arxiv:2412.12243 v2 · 2024-12-16 · hep-th · cond-mat.stat-mech · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FENQDPJ7GTUHXBRQPDJO7Z6WYC}

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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.

Cited by

5 papers in Pith

Receipt and verification
First computed 2026-07-05T11:10:03.057104Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

291b01bd3f34e87b863078d2efe7d6c08906cd54e2fec672650d32a03d88b410

Aliases

arxiv: 2412.12243 · arxiv_version: 2412.12243v2 · doi: 10.48550/arxiv.2412.12243 · pith_short_12: FENQDPJ7GTUH · pith_short_16: FENQDPJ7GTUHXBRQ · pith_short_8: FENQDPJ7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FENQDPJ7GTUHXBRQPDJO7Z6WYC \
  | 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: 291b01bd3f34e87b863078d2efe7d6c08906cd54e2fec672650d32a03d88b410
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c9feb23eb3c5e2834e84b38f581fc5c4113142de3857e0c7a18a198f021833d7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-12-16T19:00:00Z",
    "title_canon_sha256": "650614c04ce24762e2f537aeb6c568ca905e5f65901cefb8cf8dac61cc1852f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12243",
    "kind": "arxiv",
    "version": 2
  }
}