Pith Number

pith:N73E6JJM

pith:2018:N73E6JJMFMWL6TU5YV26RFI6W6

not attested not anchored not stored refs pending

Courant-sharp Robin eigenvalues for the square and other planar domains

Bernard Helffer, Katie Gittins

arxiv:1812.09344 v2 · 2018-12-21 · 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{N73E6JJMFMWL6TU5YV26RFI6W6}

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	2026-05-17T23:54:28.106369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ff64f252c2b2cbf4e9dc575e8951eb7bc199f7ad945fe39a2a91f9b6334a523

Aliases

arxiv: 1812.09344 · arxiv_version: 1812.09344v2 · doi: 10.48550/arxiv.1812.09344 · pith_short_12: N73E6JJMFMWL · pith_short_16: N73E6JJMFMWL6TU5 · pith_short_8: N73E6JJM

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/N73E6JJMFMWL6TU5YV26RFI6W6 \
  | 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: 6ff64f252c2b2cbf4e9dc575e8951eb7bc199f7ad945fe39a2a91f9b6334a523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50f8c20b4decd98eeb97603ad4be7869c5411265042957267377b7197c05ca68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-12-21T19:21:37Z",
    "title_canon_sha256": "2a2f343e3a37613727f07b102d27be9512445fd28ce702aca5a71444d48ca104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09344",
    "kind": "arxiv",
    "version": 2
  }
}