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Pith Number

pith:QDQPLMF4

pith:2011:QDQPLMF4FG2F4ADRSAY3E4IDHY
not attested not anchored not stored refs pending

Ising Interfaces and Free Boundary Conditions

Cl\'ement Hongler, Kalle Kyt\"ol\"a

arxiv:1108.0643 v2 · 2011-08-02 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QDQPLMF4FG2F4ADRSAY3E4IDHY}

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 2026-05-18T04:10:56.453121Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

80e0f5b0bc29b45e00719031b271033e07cb997daa1764f7a1089dfc898ad1f2

Aliases

arxiv: 1108.0643 · arxiv_version: 1108.0643v2 · doi: 10.48550/arxiv.1108.0643 · pith_short_12: QDQPLMF4FG2F · pith_short_16: QDQPLMF4FG2F4ADR · pith_short_8: QDQPLMF4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QDQPLMF4FG2F4ADRSAY3E4IDHY \
  | 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: 80e0f5b0bc29b45e00719031b271033e07cb997daa1764f7a1089dfc898ad1f2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "71397934ce054b2cdaaaf8409c80fb1407050962932ee529e9d34bf96222492b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-02T19:00:05Z",
    "title_canon_sha256": "28e2abf11c4e99982a0e6a154fd93ed33f12704293dc9c0a0ece16b5703fc917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0643",
    "kind": "arxiv",
    "version": 2
  }
}