Pith Number

pith:M46CDD6U

pith:2026:M46CDD6UEVOD3X5JM7P2SSK74K

not attested not anchored not stored refs pending

Approximate thermodynamics of the two-dimensional Ising model in an external magnetic field

Mathieu Gaudreault

arxiv:2607.16735 v1 · 2026-07-18 · 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{M46CDD6UEVOD3X5JM7P2SSK74K}

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	2026-07-21T01:20:24.255306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673c218fd4255c3ddfa967dfa9495fe2b701a36e3618169ce548c52f01a1dc18

Aliases

arxiv: 2607.16735 · arxiv_version: 2607.16735v1 · doi: 10.48550/arxiv.2607.16735 · pith_short_12: M46CDD6UEVOD · pith_short_16: M46CDD6UEVOD3X5J · pith_short_8: M46CDD6U

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/M46CDD6UEVOD3X5JM7P2SSK74K \
  | 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: 673c218fd4255c3ddfa967dfa9495fe2b701a36e3618169ce548c52f01a1dc18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad8e35bc790524cf3ff3b1d05b74203b28a6acee180cd3e6e1988dedcc55376d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-18T09:48:40Z",
    "title_canon_sha256": "8d3230bf7fa7cbd81f143d89980383b2c3697478eadd5b6e8876cd8edcfb3de2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16735",
    "kind": "arxiv",
    "version": 1
  }
}