Pith Number

pith:6TCD5URS

pith:2016:6TCD5URSZH56FKNXXILXOUTR5E

not attested not anchored not stored refs pending

The planar Ising model and total positivity

Marcin Lis

arxiv:1606.06068 v3 · 2016-06-20 · math.PR · math-ph · math.CO · 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{6TCD5URSZH56FKNXXILXOUTR5E}

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	2026-05-18T00:53:50.887759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c43ed232c9fbe2a9b7ba17775271e9101269d99efac0cdbf30f7387897b1cd

Aliases

arxiv: 1606.06068 · arxiv_version: 1606.06068v3 · doi: 10.48550/arxiv.1606.06068 · pith_short_12: 6TCD5URSZH56 · pith_short_16: 6TCD5URSZH56FKNX · pith_short_8: 6TCD5URS

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/6TCD5URSZH56FKNXXILXOUTR5E \
  | 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: f4c43ed232c9fbe2a9b7ba17775271e9101269d99efac0cdbf30f7387897b1cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c625f7f80ac8008bf1d52ea56727986631046f5330bac9d2b2031ab09e219aeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-20T11:36:01Z",
    "title_canon_sha256": "196a42c76cb471b64900554111afed68ed972781e483056b1af8ed3a771b98d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06068",
    "kind": "arxiv",
    "version": 3
  }
}