Pith Number

pith:XN5BCCXH

pith:2019:XN5BCCXHKJCDXWFWSOFNSW4LP5

not attested not anchored not stored refs pending

Some remarks on equivariant elliptic operators and their invariants

Jochen Br\"uning, Ken Richardson

arxiv:1908.05165 v1 · 2019-08-14 · 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{XN5BCCXHKJCDXWFWSOFNSW4LP5}

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	2026-07-04T23:56:36.941281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb7a110ae752443bd8b6938ad95b8b7f7327018bdf10c7673f77829b56f2be94

Aliases

arxiv: 1908.05165 · arxiv_version: 1908.05165v1 · doi: 10.48550/arxiv.1908.05165 · pith_short_12: XN5BCCXHKJCD · pith_short_16: XN5BCCXHKJCDXWFW · pith_short_8: XN5BCCXH

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/XN5BCCXHKJCDXWFWSOFNSW4LP5 \
  | 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: bb7a110ae752443bd8b6938ad95b8b7f7327018bdf10c7673f77829b56f2be94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c33dd136335ef812d305c2134745e4946fff944952b77dd5f6b9d801cd5f70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-14T15:12:59Z",
    "title_canon_sha256": "6f44c95c9c76a6399d189de08a855a44da99114ed2b086b84954d4b3e0cdcfd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05165",
    "kind": "arxiv",
    "version": 1
  }
}