Pith Number

pith:MBN5KTXF

pith:2011:MBN5KTXFTHQLAC3K2G6B3TA6DV

not attested not anchored not stored refs pending

A Semi-analytical Solution to Classic Yang-Mills Equations with Both Asymptotical Freedom and Confining Features

Ding-fang Zeng

arxiv:1110.5054 v3 · 2011-10-23 · hep-th · hep-lat · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBN5KTXFTHQLAC3K2G6B3TA6DV}

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	2026-05-18T03:11:58.386369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

605bd54ee599e0b00b6ad1bc1dcc1e1d6e4b114732583ba126a89488ccec1b99

Aliases

arxiv: 1110.5054 · arxiv_version: 1110.5054v3 · doi: 10.48550/arxiv.1110.5054 · pith_short_12: MBN5KTXFTHQL · pith_short_16: MBN5KTXFTHQLAC3K · pith_short_8: MBN5KTXF

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/MBN5KTXFTHQLAC3K2G6B3TA6DV \
  | 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: 605bd54ee599e0b00b6ad1bc1dcc1e1d6e4b114732583ba126a89488ccec1b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fccdd972caeb84808c405fe3901ba2f1c0633a7eac4cb2046cb5534a83d00e0a",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-10-23T15:19:58Z",
    "title_canon_sha256": "45e1bdf9f69cd21fa78e2dd4d0615f8119efc8337ee38d8d1ab996dbbf826403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5054",
    "kind": "arxiv",
    "version": 3
  }
}