Pith Number

pith:ZLHZS3BS

pith:2025:ZLHZS3BSYHLRQQP2XYKTIIBPV7

not attested not anchored not stored refs pending

Surface sums in two-dimensional large-$N$ lattice Yang--Mills: Cancellations and explicit computations for general loops

Jacopo Borga, Jasper Shogren-Knaak, Sky Cao

arxiv:2508.13827 v2 · 2025-08-19 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLHZS3BSYHLRQQP2XYKTIIBPV7}

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	2026-07-05T12:07:10.617319Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cacf996c32c1d71841fabe1534202fafc021f01b12d41eebff7c354a946c95f3

Aliases

arxiv: 2508.13827 · arxiv_version: 2508.13827v2 · doi: 10.48550/arxiv.2508.13827 · pith_short_12: ZLHZS3BSYHLR · pith_short_16: ZLHZS3BSYHLRQQP2 · pith_short_8: ZLHZS3BS

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/ZLHZS3BSYHLRQQP2XYKTIIBPV7 \
  | 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: cacf996c32c1d71841fabe1534202fafc021f01b12d41eebff7c354a946c95f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8dc422d137006a6c090847ddd0d7dbaa4f9580078fe647c41545793c6b65d8a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-19T13:37:02Z",
    "title_canon_sha256": "1cccba827918ae2601843c3e869aeeb1a46786b65d8eb23f5f854e2c1403e962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13827",
    "kind": "arxiv",
    "version": 2
  }
}