Pith Number

pith:5TQXHDRF

pith:2009:5TQXHDRF76YQAFT46AW27MBERP

not attested not anchored not stored refs pending

The order of curvature operators on loop groups

Andres Larrain-Hubach

arxiv:0909.4466 v1 · 2009-09-24 · 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{5TQXHDRF76YQAFT46AW27MBERP}

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	2026-05-18T02:11:37.998793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece1738e25ffb100167cf02dafb0248bf6dbc7389178f5ffcb7249153ad3d7e1

Aliases

arxiv: 0909.4466 · arxiv_version: 0909.4466v1 · doi: 10.48550/arxiv.0909.4466 · pith_short_12: 5TQXHDRF76YQ · pith_short_16: 5TQXHDRF76YQAFT4 · pith_short_8: 5TQXHDRF

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/5TQXHDRF76YQAFT46AW27MBERP \
  | 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: ece1738e25ffb100167cf02dafb0248bf6dbc7389178f5ffcb7249153ad3d7e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cded4cd0ad68bfd857b84826ed53c16cab51d6da3695705fbf54a281b2b8c61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-24T19:57:01Z",
    "title_canon_sha256": "33c894df1ed33a30b2a22218ddf3ad372c2f256361200660e29f42d3557d65a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4466",
    "kind": "arxiv",
    "version": 1
  }
}