Pith Number

pith:LRXQO7LV

pith:2026:LRXQO7LVR2QBFHS7DWJL42YISM

not attested not anchored not stored refs pending

A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off

Andrew Rout, Shahnaz Farhat

arxiv:2607.20400 v1 · 2026-07-22 · math-ph · math.AP · 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{LRXQO7LVR2QBFHS7DWJL42YISM}

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	2026-07-23T01:25:19.106403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c6f077d758ea0129e5f1d92be6b08932d5d501e40e58a5716549dcd59e43f22

Aliases

arxiv: 2607.20400 · arxiv_version: 2607.20400v1 · doi: 10.48550/arxiv.2607.20400 · pith_short_12: LRXQO7LVR2QB · pith_short_16: LRXQO7LVR2QBFHS7 · pith_short_8: LRXQO7LV

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/LRXQO7LVR2QBFHS7DWJL42YISM \
  | 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: 5c6f077d758ea0129e5f1d92be6b08932d5d501e40e58a5716549dcd59e43f22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5503d1b7aed8d3fe7bc5022f5018e91760b69a032881f0a1e94d0d98c291f152",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-22T17:35:47Z",
    "title_canon_sha256": "6d685c850d683e82b2674e0485f28d1ffbb1c19bc9d90ca3d63944434df05093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20400",
    "kind": "arxiv",
    "version": 1
  }
}