Pith Number

pith:Z554TZJK

pith:2019:Z554TZJK4IMP3W4ES4ED26QA6K

not attested not anchored not stored refs pending

A CLT for the total energy of the two-dimensional critical Ising model

Jianping Jiang

arxiv:1908.06704 v1 · 2019-08-19 · math.PR · 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{Z554TZJK4IMP3W4ES4ED26QA6K}

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	2026-07-04T23:58:18.649261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7bc9e52ae218fddb8497083d7a00f28776966bb886456521949a0a9a6cc1ff

Aliases

arxiv: 1908.06704 · arxiv_version: 1908.06704v1 · doi: 10.48550/arxiv.1908.06704 · pith_short_12: Z554TZJK4IMP · pith_short_16: Z554TZJK4IMP3W4E · pith_short_8: Z554TZJK

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/Z554TZJK4IMP3W4ES4ED26QA6K \
  | 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: cf7bc9e52ae218fddb8497083d7a00f28776966bb886456521949a0a9a6cc1ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49ceccb4971e4976389eac33a05d4dda931dea30b5193e43fe50540b79ec87b7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-19T11:25:24Z",
    "title_canon_sha256": "fcc667eda6e3954f004a270a7651235ea92910ed9a624972f9d418a61814616c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06704",
    "kind": "arxiv",
    "version": 1
  }
}