Pith Number

pith:EWG2YEDR

pith:2005:EWG2YEDRCCETCQBXJZ66NVUGUL

not attested not anchored not stored refs pending

Square lattice Ising model susceptibility: connection matrices and singular behavior of $\chi^{(3)}$ and $\chi^{(4)}$

J.-M. Maillard, N. Zenine, S. Boukraa, S. Hassani

arxiv:math-ph/0506065 v3 · 2005-06-24 · 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{EWG2YEDRCCETCQBXJZ66NVUGUL}

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	2026-05-18T01:05:30.120918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258dac107110893140374e7de6d686a2fd00c586ccc6d445835ecf684bfa7f09

Aliases

arxiv: math-ph/0506065 · arxiv_version: math-ph/0506065v3 · doi: 10.48550/arxiv.math-ph/0506065 · pith_short_12: EWG2YEDRCCET · pith_short_16: EWG2YEDRCCETCQBX · pith_short_8: EWG2YEDR

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/EWG2YEDRCCETCQBXJZ66NVUGUL \
  | 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: 258dac107110893140374e7de6d686a2fd00c586ccc6d445835ecf684bfa7f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fba115c05825e504afc8ca44ea4ce49da2db824a7e8709ee9373ab74dcbff65",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-06-24T20:10:10Z",
    "title_canon_sha256": "9b7137f8450cc5b37cc564fa56523d36dd57d7af619eef8f5b3ee5b482ef7887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0506065",
    "kind": "arxiv",
    "version": 3
  }
}