Pith Number

pith:XM6V2UOC

pith:2018:XM6V2UOC2GWBZ7YUWC7D3FAWQW

not attested not anchored not stored refs pending

Spectra of Kohn Laplacians on Spheres

Emilee Cardin, Garrett Brown, John Ahn, Mohit Bansil, Yunus E. Zeytuncu

arxiv:1812.02114 v1 · 2018-12-05 · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XM6V2UOC2GWBZ7YUWC7D3FAWQW}

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	2026-05-17T23:58:59.701280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb3d5d51c2d1ac1cff14b0be3d94168596a9b0ae21cf803e5a803e0f276b4ab4

Aliases

arxiv: 1812.02114 · arxiv_version: 1812.02114v1 · doi: 10.48550/arxiv.1812.02114 · pith_short_12: XM6V2UOC2GWB · pith_short_16: XM6V2UOC2GWBZ7YU · pith_short_8: XM6V2UOC

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/XM6V2UOC2GWBZ7YUWC7D3FAWQW \
  | 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: bb3d5d51c2d1ac1cff14b0be3d94168596a9b0ae21cf803e5a803e0f276b4ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e4dcfd396049d54566154dd20d1af07388d4ec305c70c1e16c17afaba8e7eb",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-12-05T17:10:25Z",
    "title_canon_sha256": "70b569c66f53d626b51283b49cadafa57ec04cdccf419c23937bcc67aee7c7c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02114",
    "kind": "arxiv",
    "version": 1
  }
}