Pith Number

pith:EWSUMMD2

pith:2022:EWSUMMD2CNPW7Z5T3TXXQQLOXT

not attested not anchored not stored refs pending

Residual Entropy of a Two-dimensional Ising Model with Crossing and Four-spin Interactions

De-Zhang Li, Xiao-Bao Yang, Yao Yao, Yu-Jun Zhao

arxiv:2211.14483 v1 · 2022-11-26 · cond-mat.stat-mech · 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{EWSUMMD2CNPW7Z5T3TXXQQLOXT}

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	2026-07-05T06:00:14.697558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25a546307a135f6fe7b3dcef78416ebccb44dd09d727fd00b602ea3fd6e96c0d

Aliases

arxiv: 2211.14483 · arxiv_version: 2211.14483v1 · doi: 10.48550/arxiv.2211.14483 · pith_short_12: EWSUMMD2CNPW · pith_short_16: EWSUMMD2CNPW7Z5T · pith_short_8: EWSUMMD2

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/EWSUMMD2CNPW7Z5T3TXXQQLOXT \
  | 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: 25a546307a135f6fe7b3dcef78416ebccb44dd09d727fd00b602ea3fd6e96c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "882ddc74661bf20b0c14a911ec752eb3ab04c32844acdf86819bf18ecd54ca54",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2022-11-26T05:09:19Z",
    "title_canon_sha256": "b5a1ece391a0b0de7531e59a9f259454fd2701d96b32ea1b7e1706abbd55cc29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.14483",
    "kind": "arxiv",
    "version": 1
  }
}