Pith Number

pith:JOPH4MCS

pith:2016:JOPH4MCSXB2VPU3553UGLTAGVR

not attested not anchored not stored refs pending

Pseudo-spectral methods for the Laplace-Beltrami equation and the Hodge decomposition on surfaces of genus one

Leslie Greengard, Lise-Marie Imbert-Gerard

arxiv:1608.04436 v2 · 2016-08-15 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOPH4MCSXB2VPU3553UGLTAGVR}

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	2026-06-04T18:09:57.301562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9e7e3052b87557d37deee865cc06ac716b48b2595fc3aa7b0a92a2271b8829

Aliases

arxiv: 1608.04436 · arxiv_version: 1608.04436v2 · doi: 10.48550/arxiv.1608.04436 · pith_short_12: JOPH4MCSXB2V · pith_short_16: JOPH4MCSXB2VPU35 · pith_short_8: JOPH4MCS

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/JOPH4MCSXB2VPU3553UGLTAGVR \
  | 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: 4b9e7e3052b87557d37deee865cc06ac716b48b2595fc3aa7b0a92a2271b8829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb5fd706b13a5641e43e425da8a2f3bf955216698ddbee4ac913402bca7e372",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-15T23:30:34Z",
    "title_canon_sha256": "95837beb53b59c8f3d1bb39952b89bc7a45d192349261d1dbb331dd0ee39ec53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04436",
    "kind": "arxiv",
    "version": 2
  }
}