Pith Number

pith:NOQOZQJR

pith:2025:NOQOZQJRL3UZFUILYNUYGBTKPM

not attested not anchored not stored refs pending

The supercritical phase of the $\varphi^4$ model is well behaved

Christoforos Panagiotis, Franco Severo, Romain Panis, Trishen S. Gunaratnam

arxiv:2501.05353 v2 · 2025-01-09 · math.PR · 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{NOQOZQJRL3UZFUILYNUYGBTKPM}

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.

Cited by

2 papers in Pith

Subcritical sharpness for real-valued spin models

Uniform analyticity of local observables in FK-percolation and analyticity of the Ising spontaneous magnetisation

Receipt and verification

First computed	2026-07-05T11:12:24.219301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ba0ecc1315ee992d10bc36983066a7b17aba494bd0dc821e8161d0058363bc8

Aliases

arxiv: 2501.05353 · arxiv_version: 2501.05353v2 · doi: 10.48550/arxiv.2501.05353 · pith_short_12: NOQOZQJRL3UZ · pith_short_16: NOQOZQJRL3UZFUIL · pith_short_8: NOQOZQJR

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/NOQOZQJRL3UZFUILYNUYGBTKPM \
  | 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: 6ba0ecc1315ee992d10bc36983066a7b17aba494bd0dc821e8161d0058363bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36ea49abcc7408e9afe1010613233dd8b277b8e8a5d959769a8bc2c94a7618b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-09T16:28:36Z",
    "title_canon_sha256": "82f61b3d5589effb226914634b8b9472addd01177d15d1b4b2c865569276940e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05353",
    "kind": "arxiv",
    "version": 2
  }
}