Pith Number

pith:2JPP2GRU

pith:2025:2JPP2GRUIN5QWGRBB5TWIEIOVE

not attested not anchored not stored refs pending

Vector Resonant Relaxation and Statistical Closure Theory. II. One-loop Closure

Jean-Baptiste Fouvry, Sofia Flores

arxiv:2509.22164 v2 · 2025-09-26 · cond-mat.stat-mech · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JPP2GRUIN5QWGRBB5TWIEIOVE}

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	2026-05-26T02:03:55.554897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d25efd1a34437b0b1a210f6764110ea93b517b01509b1d8fcf70a8fb8d844884

Aliases

arxiv: 2509.22164 · arxiv_version: 2509.22164v2 · doi: 10.48550/arxiv.2509.22164 · pith_short_12: 2JPP2GRUIN5Q · pith_short_16: 2JPP2GRUIN5QWGRB · pith_short_8: 2JPP2GRU

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/2JPP2GRUIN5QWGRBB5TWIEIOVE \
  | 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: d25efd1a34437b0b1a210f6764110ea93b517b01509b1d8fcf70a8fb8d844884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "370d8ee2820db7f4e69f34247242557dbc7c9dc7d0a1fba690b86482ffa2fc6e",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-09-26T10:25:06Z",
    "title_canon_sha256": "bdabac8be6b944239382cbda6b0551c928bca717ed8c960c1637940b46fdb089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.22164",
    "kind": "arxiv",
    "version": 2
  }
}