Pith Number

pith:IPRDDY7T

pith:2022:IPRDDY7TSKRCVLOCUR2N2QC7IP

not attested not anchored not stored refs pending

The Euclidean $\phi^4_2$ theory as a limit of an interacting Bose gas

Antti Knowles, Benjamin Schlein, J\"urg Fr\"ohlich, Vedran Sohinger

arxiv:2201.07632 v2 · 2022-01-19 · math-ph · math.AP · 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{IPRDDY7TSKRCVLOCUR2N2QC7IP}

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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.

Cited by

1 paper in Pith

Interacting loop ensembles and Bose gases

Receipt and verification

First computed	2026-07-05T05:31:34.594126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e231e3f392a22aadc2a474dd405f43cd7d0e226a9daca5d40e72e0bbbe2c27

Aliases

arxiv: 2201.07632 · arxiv_version: 2201.07632v2 · doi: 10.48550/arxiv.2201.07632 · pith_short_12: IPRDDY7TSKRC · pith_short_16: IPRDDY7TSKRCVLOC · pith_short_8: IPRDDY7T

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/IPRDDY7TSKRCVLOCUR2N2QC7IP \
  | 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: 43e231e3f392a22aadc2a474dd405f43cd7d0e226a9daca5d40e72e0bbbe2c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de370a535966af2a2334d2e2b37522057cf156dd7ca95dde4501595358f02909",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-01-19T14:53:11Z",
    "title_canon_sha256": "1a59c163d0a9cbb3a11fc29f3b8e20ed05bd60736e61c71a97d7b75362794efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.07632",
    "kind": "arxiv",
    "version": 2
  }
}