Pith Number

pith:MBCDEFBX

pith:2016:MBCDEFBXA6Y5DSFWA6CVZZV34F

not attested not anchored not stored refs pending

Decoupling inequalities for the Ginzburg-Landau $\nabla \varphi$ models

Pierre-Fran\c{c}ois Rodriguez

arxiv:1612.02385 v1 · 2016-12-07 · math.PR · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBCDEFBXA6Y5DSFWA6CVZZV34F}

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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

A Liouville principle for the random conductance model under degenerate conditions

Receipt and verification

First computed	2026-05-18T00:55:34.797644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604432143707b1d1c8b607855ce6bbe15412fba2eb05fef2ea50651c0e8ea577

Aliases

arxiv: 1612.02385 · arxiv_version: 1612.02385v1 · doi: 10.48550/arxiv.1612.02385 · pith_short_12: MBCDEFBXA6Y5 · pith_short_16: MBCDEFBXA6Y5DSFW · pith_short_8: MBCDEFBX

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/MBCDEFBXA6Y5DSFWA6CVZZV34F \
  | 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: 604432143707b1d1c8b607855ce6bbe15412fba2eb05fef2ea50651c0e8ea577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa5b23dcf161e733e9418380935bcb8a8f124a720239320f6c6a1d0b1076066",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-07T19:27:21Z",
    "title_canon_sha256": "bc16deffbc8809e3b040821383e6c720fd90e7c31d60ded08a08cf932701ce87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02385",
    "kind": "arxiv",
    "version": 1
  }
}