Pith Number

pith:WDEKT7YU

pith:2011:WDEKT7YUGFW76KO5WNGKA7XWRW

not attested not anchored not stored refs pending

Series expansions from the corner transfer matrix renormalization group method: the hard squares model

Yao-ban Chan

arxiv:1107.1677 v2 · 2011-07-08 · cond-mat.stat-mech · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDEKT7YUGFW76KO5WNGKA7XWRW}

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	2026-05-18T02:01:21.208392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c8a9ff14316dff29ddb34ca07ef68da0a697122c34a2244df3fcbc8fa27c68

Aliases

arxiv: 1107.1677 · arxiv_version: 1107.1677v2 · doi: 10.48550/arxiv.1107.1677 · pith_short_12: WDEKT7YUGFW7 · pith_short_16: WDEKT7YUGFW76KO5 · pith_short_8: WDEKT7YU

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/WDEKT7YUGFW76KO5WNGKA7XWRW \
  | 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: b0c8a9ff14316dff29ddb34ca07ef68da0a697122c34a2244df3fcbc8fa27c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "054d69a551f2ff55f7953c6e3995a6d354d55658cc81cf31ea2fc39fd66f6ca3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-08T16:57:45Z",
    "title_canon_sha256": "ac030e1a3e8c87cb62e7293a8f227891fa4eb5a5cee89c8652e1e62a3b9d508d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1677",
    "kind": "arxiv",
    "version": 2
  }
}