Pith Number

pith:5CZQKR5Y

pith:2018:5CZQKR5YFLYV5A3SIT4BW2EX7U

not attested not anchored not stored refs pending

On the range of lattice models in high dimensions - extended version

Edwin Perkins, Mark Holmes

arxiv:1806.08497 v1 · 2018-06-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CZQKR5YFLYV5A3SIT4BW2EX7U}

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	2026-05-18T00:12:37.058078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b30547b82af15e837244f81b6897fd190eac9ceece46fcead5ec95b3ba687e

Aliases

arxiv: 1806.08497 · arxiv_version: 1806.08497v1 · doi: 10.48550/arxiv.1806.08497 · pith_short_12: 5CZQKR5YFLYV · pith_short_16: 5CZQKR5YFLYV5A3S · pith_short_8: 5CZQKR5Y

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/5CZQKR5YFLYV5A3SIT4BW2EX7U \
  | 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: e8b30547b82af15e837244f81b6897fd190eac9ceece46fcead5ec95b3ba687e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69eb45ef54a10b561a42d4c90d9bca737b434303fcca6ee2625c404e69e98de9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-22T05:29:21Z",
    "title_canon_sha256": "9fa1ad8ab983b858944a96ce48783628ed5515261514a2591f67dffbd9ae7dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08497",
    "kind": "arxiv",
    "version": 1
  }
}