Pith Number

pith:XI4HSAND

pith:2011:XI4HSANDQ3O473LTUDATH4JOMB

not attested not anchored not stored refs pending

Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods

Elliott H. Lieb, Yisong Yang

arxiv:1106.1626 v1 · 2011-06-08 · hep-th · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XI4HSANDQ3O473LTUDATH4JOMB}

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	2026-05-18T02:01:40.746088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba387901a386ddcfed73a0c133f12e606a664cbd012715e7d098dee9345db7a6

Aliases

arxiv: 1106.1626 · arxiv_version: 1106.1626v1 · doi: 10.48550/arxiv.1106.1626 · pith_short_12: XI4HSANDQ3O4 · pith_short_16: XI4HSANDQ3O473LT · pith_short_8: XI4HSAND

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/XI4HSANDQ3O473LTUDATH4JOMB \
  | 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: ba387901a386ddcfed73a0c133f12e606a664cbd012715e7d098dee9345db7a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3311b73dff8a68c21dee2d5904919804f96cbd943998fbde6ae70073c9bfe97",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-08T19:18:37Z",
    "title_canon_sha256": "9579e893a6ff58d593d7d410db2d115c99f0d7fde73145d1d8f34ebfbdfa4cf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1626",
    "kind": "arxiv",
    "version": 1
  }
}