Pith Number

pith:ABJAAVPE

pith:2024:ABJAAVPED4BPFKNHJR5OCJE5QA

not attested not anchored not stored refs pending

Makeenko-Migdal equations for 2D Yang-Mills: from lattice to continuum

Hao Shen, Rongchan Zhu, Scott A. Smith

arxiv:2412.15422 v2 · 2024-12-19 · math-ph · 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{ABJAAVPED4BPFKNHJR5OCJE5QA}

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.

Cited by

2 papers in Pith

The heat-kernel master field on $\mathbb{Z}^d$ at strong coupling

Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling

Receipt and verification

First computed	2026-07-05T09:56:57.904887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00520055e41f02f2a9a74c7ae1249d8013604533dcdbd180b5e34652babb56ea

Aliases

arxiv: 2412.15422 · arxiv_version: 2412.15422v2 · doi: 10.48550/arxiv.2412.15422 · pith_short_12: ABJAAVPED4BP · pith_short_16: ABJAAVPED4BPFKNH · pith_short_8: ABJAAVPE

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/ABJAAVPED4BPFKNHJR5OCJE5QA \
  | 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: 00520055e41f02f2a9a74c7ae1249d8013604533dcdbd180b5e34652babb56ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4f07978522cc35aecbe44690c7bf522f32380ec7eb531710aa62ff358ffd8a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-12-19T22:12:38Z",
    "title_canon_sha256": "bf72eba0bcc1ebb6e48d97d21ce03aee2d778a65adfce9036d95930f4ecc5be9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15422",
    "kind": "arxiv",
    "version": 2
  }
}