Pith Number

pith:3RQBAPJM

pith:2022:3RQBAPJMV6HUD5W3DDKO67ZIDQ

not attested not anchored not stored refs pending

Random tangled currents for $\varphi^4$: translation invariant Gibbs measures and continuity of the phase transition

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

arxiv:2211.00319 v2 · 2022-11-01 · 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{3RQBAPJMV6HUD5W3DDKO67ZIDQ}

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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

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

Receipt and verification

First computed	2026-07-05T10:37:19.420026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc60103d2caf8f41f6db18d4ef7f281c3791ff4201992824eec920c2743e51ac

Aliases

arxiv: 2211.00319 · arxiv_version: 2211.00319v2 · doi: 10.48550/arxiv.2211.00319 · pith_short_12: 3RQBAPJMV6HU · pith_short_16: 3RQBAPJMV6HUD5W3 · pith_short_8: 3RQBAPJM

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/3RQBAPJMV6HUD5W3DDKO67ZIDQ \
  | 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: dc60103d2caf8f41f6db18d4ef7f281c3791ff4201992824eec920c2743e51ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89eff91848b058f9268fc4e45db56e043b63e98e681813155fb5149a46272313",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-11-01T08:07:17Z",
    "title_canon_sha256": "611a39a4fa33d2d2eff789c869929b55e033d3beb185a43027e66a65120d728a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00319",
    "kind": "arxiv",
    "version": 2
  }
}