Pith Number

pith:FMQLKPYE

pith:2026:FMQLKPYEO3AA5MKLFV7VTYP7O7

not attested not anchored not stored refs pending

Renormalization flows for 1D mixed states and a quantum Goursat lemma

Alberto Ruiz-de-Alarc\'on, David P\'erez-Garc\'ia, L\'eo Le-Nestour

arxiv:2607.08568 v1 · 2026-07-09 · math-ph · cond-mat.str-el · math.MP · math.QA · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMQLKPYEO3AA5MKLFV7VTYP7O7}

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.

Receipt and verification

First computed	2026-07-10T01:19:53.841105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b20b53f0476c00eb14b2d7f59e1ff77e797cd51e041ea8d62c83f1216904699

Aliases

arxiv: 2607.08568 · arxiv_version: 2607.08568v1 · doi: 10.48550/arxiv.2607.08568 · pith_short_12: FMQLKPYEO3AA · pith_short_16: FMQLKPYEO3AA5MKL · pith_short_8: FMQLKPYE

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/FMQLKPYEO3AA5MKLFV7VTYP7O7 \
  | 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: 2b20b53f0476c00eb14b2d7f59e1ff77e797cd51e041ea8d62c83f1216904699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c592ac9a40ae51acf70fd9212e26703b43e504b81e732e7b65bd1610fb8da1",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-09T14:56:47Z",
    "title_canon_sha256": "33421847e2b84fc73b46cde39f63eef096dba9e04779e28fa3b88f287b363683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08568",
    "kind": "arxiv",
    "version": 1
  }
}