Pith Number

pith:WW4ORK5K

pith:2025:WW4ORK5KDMCKX72K6H4EZPOEED

not attested not anchored not stored refs pending

$\Phi^4_2$ theory limit of a many-body bosonic free energy

Lucas Jougla, Nicolas Rougerie (UMPA-ENSL)

arxiv:2512.10704 v2 · 2025-12-11 · math.AP · cond-mat.quant-gas · math-ph · 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{WW4ORK5KDMCKX72K6H4EZPOEED}

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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

2 papers in Pith

The large-mass limit of interacting quantum gases in the continuum

Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions

Receipt and verification

First computed	2026-06-01T01:02:27.061736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b8e8abaa1b04abff4af1f84cbdc420cb05b7f7a50fb2f40cec0be34a5ea407

Aliases

arxiv: 2512.10704 · arxiv_version: 2512.10704v2 · doi: 10.48550/arxiv.2512.10704 · pith_short_12: WW4ORK5KDMCK · pith_short_16: WW4ORK5KDMCKX72K · pith_short_8: WW4ORK5K

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/WW4ORK5KDMCKX72K6H4EZPOEED \
  | 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: b5b8e8abaa1b04abff4af1f84cbdc420cb05b7f7a50fb2f40cec0be34a5ea407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60dd1596470949b2c310b1dc2099aa044864bdf91b10c6ff67925e92e0e6196",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-11T14:42:05Z",
    "title_canon_sha256": "8e99eb774b307d065f81d818f8b3645a1081f2be6b840cc1980b919dadb09904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10704",
    "kind": "arxiv",
    "version": 2
  }
}