Pith Number

pith:EIDH4XKZ

pith:2014:EIDH4XKZC2K5A4UQTPEWTLLH2H

not attested not anchored not stored refs pending

Exact low-temperature series expansion for the partition function of the two-dimensional zero-field s=1/2 Ising model on the infinite square lattice

Agata Fronczak, Grzegorz Siudem, Piotr Fronczak

arxiv:1410.7963 v2 · 2014-10-29 · math-ph · cond-mat.stat-mech · 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{EIDH4XKZC2K5A4UQTPEWTLLH2H}

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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.

Receipt and verification

First computed	2026-05-18T02:18:49.276803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22067e5d591695d072909bc969ad67d1f5c226ccfe1c05b631617dc4125c7827

Aliases

arxiv: 1410.7963 · arxiv_version: 1410.7963v2 · doi: 10.48550/arxiv.1410.7963 · pith_short_12: EIDH4XKZC2K5 · pith_short_16: EIDH4XKZC2K5A4UQ · pith_short_8: EIDH4XKZ

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/EIDH4XKZC2K5A4UQTPEWTLLH2H \
  | 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: 22067e5d591695d072909bc969ad67d1f5c226ccfe1c05b631617dc4125c7827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f782563f37608c56472029fd26c13e21b958cc5a7b8b80b677629f41512786d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-10-29T13:02:41Z",
    "title_canon_sha256": "fc4cab131e8af4e15642346e5d3f4059922e7882799aed86e6c1e4a90c7d21b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7963",
    "kind": "arxiv",
    "version": 2
  }
}