Pith Number

pith:27N7G553

pith:2011:27N7G553YY5QNZINX5TEIOCNCA

not attested not anchored not stored refs pending

The Yang-Mills Gradient Flow and Loop Spaces of Compact Lie Groups

Jan Swoboda

arxiv:1104.5514 v3 · 2011-04-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27N7G553YY5QNZINX5TEIOCNCA}

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	2026-05-18T03:42:12.002050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7dbf377bbc63b06e50dbf6644384d1006acda9462313ecb59edf377c12064c6

Aliases

arxiv: 1104.5514 · arxiv_version: 1104.5514v3 · doi: 10.48550/arxiv.1104.5514 · pith_short_12: 27N7G553YY5Q · pith_short_16: 27N7G553YY5QNZIN · pith_short_8: 27N7G553

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/27N7G553YY5QNZINX5TEIOCNCA \
  | 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: d7dbf377bbc63b06e50dbf6644384d1006acda9462313ecb59edf377c12064c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b851c1d51bd96e3c16b78b2bd6f31d3a4889c118aedbe358ae8d9495bba235b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-28T21:24:01Z",
    "title_canon_sha256": "ea0b3659f9283d40738b8f9d2ded8a80b95e264af747c295e5e040c1e0ff5d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5514",
    "kind": "arxiv",
    "version": 3
  }
}