Pith Number

pith:4K5YX4BG

pith:2011:4K5YX4BGIGIBEUOG6R26IJC6OB

not attested not anchored not stored refs pending

Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model

R. J. Baxter

arxiv:1103.3347 v2 · 2011-03-17 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K5YX4BGIGIBEUOG6R26IJC6OB}

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	2026-05-18T02:02:50.434536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bb8bf02641901251c6f475e4245e7057a1752acd51d30f4e12f9950e2eb8f8

Aliases

arxiv: 1103.3347 · arxiv_version: 1103.3347v2 · doi: 10.48550/arxiv.1103.3347 · pith_short_12: 4K5YX4BGIGIB · pith_short_16: 4K5YX4BGIGIBEUOG · pith_short_8: 4K5YX4BG

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/4K5YX4BGIGIBEUOG6R26IJC6OB \
  | 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: e2bb8bf02641901251c6f475e4245e7057a1752acd51d30f4e12f9950e2eb8f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca38b01670461c26c878e77c0b526f3e6a7cbb5724d9848f2fa0cce93393891e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-03-17T07:09:21Z",
    "title_canon_sha256": "2036289525d117ee545c02ba91272b8396357db7fdd10905f261367242db9b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3347",
    "kind": "arxiv",
    "version": 2
  }
}