Pith Number

pith:XKGQCCAE

pith:2011:XKGQCCAEAKVV7RXRRWAC7SFLRQ

not attested not anchored not stored refs pending

Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions

Sinan Ariturk

arxiv:1110.6885 v1 · 2011-10-31 · 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{XKGQCCAEAKVV7RXRRWAC7SFLRQ}

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	2026-05-18T01:59:49.465550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8d01080402ab5fc6f18d802fc8ab8c33b46207afee519b4a45b64e37ac968b

Aliases

arxiv: 1110.6885 · arxiv_version: 1110.6885v1 · doi: 10.48550/arxiv.1110.6885 · pith_short_12: XKGQCCAEAKVV · pith_short_16: XKGQCCAEAKVV7RXR · pith_short_8: XKGQCCAE

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/XKGQCCAEAKVV7RXRRWAC7SFLRQ \
  | 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: ba8d01080402ab5fc6f18d802fc8ab8c33b46207afee519b4a45b64e37ac968b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad584cf49f163398bacc447b610d4bcd32827fd138bc9337ccedef832d4e111",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-31T18:20:53Z",
    "title_canon_sha256": "ca6cfe50310452ca103bce69cf63621f5aa6e5ac6f2e08babec33449b0404f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6885",
    "kind": "arxiv",
    "version": 1
  }
}