Pith Number

pith:ION7GVRV

pith:2018:ION7GVRVHA2KU7ALCPAROYKBEE

not attested not anchored not stored refs pending

Boundary operators associated to the sixth-order GJMS operator

Jeffrey S. Case, Weiyu Luo

arxiv:1810.08027 v1 · 2018-10-18 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ION7GVRVHA2KU7ALCPAROYKBEE}

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	2026-05-18T00:02:50.787266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439bf356353834aa7c0b13c1176141211950a9b4d61f34bda6e9a6d6ebdabd9d

Aliases

arxiv: 1810.08027 · arxiv_version: 1810.08027v1 · doi: 10.48550/arxiv.1810.08027 · pith_short_12: ION7GVRVHA2K · pith_short_16: ION7GVRVHA2KU7AL · pith_short_8: ION7GVRV

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/ION7GVRVHA2KU7ALCPAROYKBEE \
  | 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: 439bf356353834aa7c0b13c1176141211950a9b4d61f34bda6e9a6d6ebdabd9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c9b7319ed48b15fdced34103040dee5c8bc3ad3636e9a5cb35e94334aee3b4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-18T13:02:27Z",
    "title_canon_sha256": "26446b70e31f549901dba821c65df3e487ad20cde7170412fa831df9a770e017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08027",
    "kind": "arxiv",
    "version": 1
  }
}