Pith Number

pith:JVKCOBGP

pith:2014:JVKCOBGP32EMC3J5MCKEYPKIID

not attested not anchored not stored refs pending

Upper bounds on the growth rates of hard squares and related models via corner transfer matrices

Andrew Rechnitzer, Yao-ban Chan

arxiv:1411.7442 v1 · 2014-11-27 · math.CO · 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{JVKCOBGP32EMC3J5MCKEYPKIID}

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	2026-05-18T02:32:37.996323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d542704cfde88c16d3d60944c3d4840c2b50eabf44f7b780985ef0b2639c10c

Aliases

arxiv: 1411.7442 · arxiv_version: 1411.7442v1 · doi: 10.48550/arxiv.1411.7442 · pith_short_12: JVKCOBGP32EM · pith_short_16: JVKCOBGP32EMC3J5 · pith_short_8: JVKCOBGP

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/JVKCOBGP32EMC3J5MCKEYPKIID \
  | 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: 4d542704cfde88c16d3d60944c3d4840c2b50eabf44f7b780985ef0b2639c10c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb7fb07ef643fa4fa7288901f8c532f04f0911953bdb17ef3e5b6da01bd7f8dc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-27T02:32:12Z",
    "title_canon_sha256": "d25b75e455f6173c9318580bc4b8d3a68403a91958080112a1c53d93201c5244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7442",
    "kind": "arxiv",
    "version": 1
  }
}