Pith Number

pith:TDJE2V46

pith:2026:TDJE2V46KUGYWKKNVUXSAIYLO3

not attested not anchored not stored refs pending

The Renormalization Group as a Stochastic Exploration Process

Denis Bernard

arxiv:2608.11106 v1 · 2026-08-11 · math-ph · cond-mat.stat-mech · hep-th · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDJE2V46KUGYWKKNVUXSAIYLO3}

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	2026-08-12T01:24:37.127751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d24d579e550d8b294dad2f20230b76ccb896286dbe0f9aa52f17ad2417a0f1

Aliases

arxiv: 2608.11106 · arxiv_version: 2608.11106v1 · doi: 10.48550/arxiv.2608.11106 · pith_short_12: TDJE2V46KUGY · pith_short_16: TDJE2V46KUGYWKKN · pith_short_8: TDJE2V46

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/TDJE2V46KUGYWKKNVUXSAIYLO3 \
  | 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: 98d24d579e550d8b294dad2f20230b76ccb896286dbe0f9aa52f17ad2417a0f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7912615d2c5312f4f383b2d8118a14673e87788456f2bcd5e4328cca85e4915",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-11T16:15:23Z",
    "title_canon_sha256": "d4368f61c54378d39492af6a24646e4e7b8326632e2de39fefb28535be70f6a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11106",
    "kind": "arxiv",
    "version": 1
  }
}