Pith Number

pith:5VK2BBST

pith:2026:5VK2BBSTY2QFONDSBLNSQ2MYMZ

not attested not anchored not stored refs pending

Inequalities between Dirichlet and Neumann eigenvalues in large dimensions

N. Filonov

arxiv:2606.30120 v1 · 2026-06-29 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VK2BBSTY2QFONDSBLNSQ2MYMZ}

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	2026-06-30T02:17:50.460404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed55a08653c6a05734720adb28699866715a466117a230cd408a6cd82ada8c75

Aliases

arxiv: 2606.30120 · arxiv_version: 2606.30120v1 · doi: 10.48550/arxiv.2606.30120 · pith_short_12: 5VK2BBSTY2QF · pith_short_16: 5VK2BBSTY2QFONDS · pith_short_8: 5VK2BBST

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/5VK2BBSTY2QFONDSBLNSQ2MYMZ \
  | 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: ed55a08653c6a05734720adb28699866715a466117a230cd408a6cd82ada8c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd7236d03424c14373c5fd7d1c110d0310ab2036f9c43f902aabda693832d31",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-29T10:55:17Z",
    "title_canon_sha256": "d9248d56506a378548cfabdc054b2b547fc5b753bee5dec111602470735204b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30120",
    "kind": "arxiv",
    "version": 1
  }
}