Pith Number

pith:MH35KVCS

pith:2012:MH35KVCSUVA2IQ2UBFQMXOWOHZ

not attested not anchored not stored refs pending

Accurate lower bounds on two-dimensional constraint capacities from corner transfer matrices

Andrew Rechnitzer, Yao-ban Chan

arxiv:1210.5189 v3 · 2012-10-18 · 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{MH35KVCSUVA2IQ2UBFQMXOWOHZ}

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	2026-05-18T02:51:15.245351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f7d55452a541a443540960cbbace3e70d07d2afd392436a9d4450aa663898c

Aliases

arxiv: 1210.5189 · arxiv_version: 1210.5189v3 · doi: 10.48550/arxiv.1210.5189 · pith_short_12: MH35KVCSUVA2 · pith_short_16: MH35KVCSUVA2IQ2U · pith_short_8: MH35KVCS

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/MH35KVCSUVA2IQ2UBFQMXOWOHZ \
  | 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: 61f7d55452a541a443540960cbbace3e70d07d2afd392436a9d4450aa663898c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac29b6efa4c314e15faf71a11009e1b6719d38c1f3d50d3e1148f70563281e5e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-18T17:05:26Z",
    "title_canon_sha256": "7becfe748748614d01732a9ed177350062cba16acb260a646931963dabd0bae3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5189",
    "kind": "arxiv",
    "version": 3
  }
}