Pith Number

pith:TUKI73MW

pith:2014:TUKI73MWBSRWI3WWHQYQP4NW2A

not attested not anchored not stored refs pending

Scaling limits and critical behaviour of the 4-dimensional n-component $|\varphi|^4$ spin model

David C. Brydges, Gordon Slade, Roland Bauerschmidt

arxiv:1403.7424 v1 · 2014-03-28 · math-ph · math.DS · math.MP · 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{TUKI73MWBSRWI3WWHQYQP4NW2A}

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	2026-05-18T01:27:54.812134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d148fed960ca3646ed63c3107f1b6d01908307867318f687b519c42c422c929

Aliases

arxiv: 1403.7424 · arxiv_version: 1403.7424v1 · doi: 10.48550/arxiv.1403.7424 · pith_short_12: TUKI73MWBSRW · pith_short_16: TUKI73MWBSRWI3WW · pith_short_8: TUKI73MW

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/TUKI73MWBSRWI3WWHQYQP4NW2A \
  | 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: 9d148fed960ca3646ed63c3107f1b6d01908307867318f687b519c42c422c929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06cfde0c26de3a2d2087881b6846fb9eb56e993f7f8ef46d64fe88ed27f53e8d",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-28T15:50:49Z",
    "title_canon_sha256": "ca1f44693f9875ff7e67c1e3da8a95ebb7b5134a22ecc0c2ba91bc1f96d7713f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7424",
    "kind": "arxiv",
    "version": 1
  }
}