Pith Number

pith:2Q4Q73SO

pith:2013:2Q4Q73SO45ZFPNZG6S22HHNEY3

not attested not anchored not stored refs pending

Critical line of the $\Phi^4$ scalar field theory on a 4D cubic lattice in the local potential approximation

Jean-Michel Caillol

arxiv:1308.2251 v2 · 2013-08-09 · 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{2Q4Q73SO45ZFPNZG6S22HHNEY3}

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	2026-05-18T03:04:15.240603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4390fee4ee77257b726f4b5a39da4c6e3ca395ca1177ab76305b8c26b77f305

Aliases

arxiv: 1308.2251 · arxiv_version: 1308.2251v2 · doi: 10.48550/arxiv.1308.2251 · pith_short_12: 2Q4Q73SO45ZF · pith_short_16: 2Q4Q73SO45ZFPNZG · pith_short_8: 2Q4Q73SO

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/2Q4Q73SO45ZFPNZG6S22HHNEY3 \
  | 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: d4390fee4ee77257b726f4b5a39da4c6e3ca395ca1177ab76305b8c26b77f305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6a6b5e260897fca10d477750dcee279bc3bc5d1573efa8eb161a0ee1106159",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-08-09T21:15:19Z",
    "title_canon_sha256": "d3705888240c49708dd28b7899b55deb508339d46e20e7f945a44aad08a0abe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2251",
    "kind": "arxiv",
    "version": 2
  }
}