Pith Number

pith:P24Q4PMN

pith:2016:P24Q4PMN7ONL54Q4DLD45YYQCU

not attested not anchored not stored refs pending

Applications of the `Ham Sandwich Theorem' to eigenvalues of the Laplacian

Kei Funano

arxiv:1609.05549 v2 · 2016-09-18 · math.DG · math.FA · 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{P24Q4PMN7ONL54Q4DLD45YYQCU}

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	2026-05-18T00:56:37.606045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb90e3d8dfb9abef21c1ac7cee31015021bb76dcf2b7fae92ea042c9f0a370d

Aliases

arxiv: 1609.05549 · arxiv_version: 1609.05549v2 · doi: 10.48550/arxiv.1609.05549 · pith_short_12: P24Q4PMN7ONL · pith_short_16: P24Q4PMN7ONL54Q4 · pith_short_8: P24Q4PMN

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/P24Q4PMN7ONL54Q4DLD45YYQCU \
  | 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: 7eb90e3d8dfb9abef21c1ac7cee31015021bb76dcf2b7fae92ea042c9f0a370d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c883e133b880a1a61acfd8f21d10de04ce200a7af8e5f0faa875e730ed01870",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-18T21:03:06Z",
    "title_canon_sha256": "3fcbbc709ac08efa2b28e047188af21cd95e3bc55509a7e3d0d37ec7c2e44898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05549",
    "kind": "arxiv",
    "version": 2
  }
}