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Pith Number

pith:JXXREEFR

pith:2022:JXXREEFRWUPXNSVSO6FBWEP7M4
not attested not anchored not stored refs pending

Percolation for 2D classical Heisenberg model and exit sets of vector valued GFF

Avelio Sep\'ulveda, Christophe Garban, Juhan Aru

arxiv:2212.06767 v1 · 2022-12-13 · math.PR · math-ph · math.MP

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\usepackage{pith}
\pithnumber{JXXREEFRWUPXNSVSO6FBWEP7M4}

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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

1 paper in Pith

Receipt and verification
First computed 2026-07-05T05:24:54.396690Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4def1210b1b51f76cab2778a1b11ff671fa27c8486e0f11717d070dcd8c88acf

Aliases

arxiv: 2212.06767 · arxiv_version: 2212.06767v1 · doi: 10.48550/arxiv.2212.06767 · pith_short_12: JXXREEFRWUPX · pith_short_16: JXXREEFRWUPXNSVS · pith_short_8: JXXREEFR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JXXREEFRWUPXNSVSO6FBWEP7M4 \
  | 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: 4def1210b1b51f76cab2778a1b11ff671fa27c8486e0f11717d070dcd8c88acf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8ded30c1c2788ec24307d360d6f0aa6a7b6366a38f196d5c6807a7cdc06b03c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-13T17:48:36Z",
    "title_canon_sha256": "712398bc59a8d921ba8378de69b03d9a503398e4223b4906fcbb12ac33b9e0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06767",
    "kind": "arxiv",
    "version": 1
  }
}