Pith Number

pith:V7SIQW6Z

pith:2025:V7SIQW6ZQ5QV2TCKXJZVHIPWDH

not attested not anchored not stored refs pending

Exact Confining Solution of the Planar QCD Loop Equation via a Matrix Ensemble

Alexander Migdal

arxiv:2507.05096 v5 · 2025-07-07 · hep-th · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7SIQW6ZQ5QV2TCKXJZVHIPWDH}

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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

1 paper in Pith

Notes on the Loop Equation in Loop Space

Receipt and verification

First computed	2026-07-05T11:54:48.994050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe4885bd987615d4c4aba7353a1f619da5233a23742ba7c0a949d08195284be

Aliases

arxiv: 2507.05096 · arxiv_version: 2507.05096v5 · doi: 10.48550/arxiv.2507.05096 · pith_short_12: V7SIQW6ZQ5QV · pith_short_16: V7SIQW6ZQ5QV2TCK · pith_short_8: V7SIQW6Z

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/V7SIQW6ZQ5QV2TCKXJZVHIPWDH \
  | 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: afe4885bd987615d4c4aba7353a1f619da5233a23742ba7c0a949d08195284be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ca9b3007044780f53a29396985fe6e684075a8d093a71c590f54d7da348201",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-07T15:15:59Z",
    "title_canon_sha256": "d905161299d489c8667916506f6c44ae24e345e86c6948ac4dfc750715c63b5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05096",
    "kind": "arxiv",
    "version": 5
  }
}