Pith Number

pith:YTY5KKWR

pith:2015:YTY5KKWRBBV6AMAVU3EQQ4QJ7S

not attested not anchored not stored refs pending

Maximising Neumann eigenvalues on rectangles

Dorin Bucur, Katie Gittins, Michiel van den Berg

arxiv:1512.00224 v4 · 2015-12-01 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTY5KKWRBBV6AMAVU3EQQ4QJ7S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:15:59.620892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f1d52ad1086be03015a6c9087209fc86b34a89a6024e3d40b036e81b73e764

Aliases

arxiv: 1512.00224 · arxiv_version: 1512.00224v4 · doi: 10.48550/arxiv.1512.00224 · pith_short_12: YTY5KKWRBBV6 · pith_short_16: YTY5KKWRBBV6AMAV · pith_short_8: YTY5KKWR

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/YTY5KKWRBBV6AMAVU3EQQ4QJ7S \
  | 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: c4f1d52ad1086be03015a6c9087209fc86b34a89a6024e3d40b036e81b73e764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2387dbf0231cc0a86627a232d0163205fd6d3fb82b1d05730d6565f88a4d574a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-01T11:01:11Z",
    "title_canon_sha256": "78729564588806bde99d8236e716bdab0a4bd989960ed67f75c2b70c31c30d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00224",
    "kind": "arxiv",
    "version": 4
  }
}