Pith Number

pith:NQTS5ND2

pith:2026:NQTS5ND2RELUU7BNHXH6KNWQJA

not attested not anchored not stored refs pending

Exact critical-temperature bounds for two-dimensional Ising models

Davidson Noby Joseph, Igor Boettcher

arxiv:2601.02502 v2 · 2026-01-05 · cond-mat.stat-mech · cond-mat.mes-hall · 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{NQTS5ND2RELUU7BNHXH6KNWQJA}

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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

Families of planar lattices with arbitrarily high $T_{\rm c}$ for the ferromagnetic Ising model

Receipt and verification

First computed	2026-05-29T01:05:01.079857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c272eb47a89174a7c2d3dcfe536d0483ebfbb56445eaf67e88c40c150a67615

Aliases

arxiv: 2601.02502 · arxiv_version: 2601.02502v2 · doi: 10.48550/arxiv.2601.02502 · pith_short_12: NQTS5ND2RELU · pith_short_16: NQTS5ND2RELUU7BN · pith_short_8: NQTS5ND2

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/NQTS5ND2RELUU7BNHXH6KNWQJA \
  | 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: 6c272eb47a89174a7c2d3dcfe536d0483ebfbb56445eaf67e88c40c150a67615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7152a301645c66ca174b8de8f223c3b9d7c25d410a880f48cd9b8dc6fc340e",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-01-05T19:16:52Z",
    "title_canon_sha256": "efc68de30c9c000860df035316b773fe0ebb2f9164be678538b3ea33b2887834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.02502",
    "kind": "arxiv",
    "version": 2
  }
}