Pith Number

pith:OQ233NES

pith:2019:OQ233NESCTGWFAM6ZPR2AVAOHX

not attested not anchored not stored refs pending

Unimodal value distribution of Laplace eigenfunctions and a monotonicity formula

Bo'az Klartag

arxiv:1905.11648 v2 · 2019-05-28 · math.SP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQ233NESCTGWFAM6ZPR2AVAOHX}

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	2026-05-17T23:43:22.886748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7435bdb49214cd62819ecbe3a0540e3dd20e1e8fb6c671ba914d6e43520e760a

Aliases

arxiv: 1905.11648 · arxiv_version: 1905.11648v2 · doi: 10.48550/arxiv.1905.11648 · pith_short_12: OQ233NESCTGW · pith_short_16: OQ233NESCTGWFAM6 · pith_short_8: OQ233NES

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/OQ233NESCTGWFAM6ZPR2AVAOHX \
  | 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: 7435bdb49214cd62819ecbe3a0540e3dd20e1e8fb6c671ba914d6e43520e760a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5115abe862c78d28dba76f575135f931b38ae41872d2dc365ecea4db8da926f1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-05-28T07:10:09Z",
    "title_canon_sha256": "7592eafd5fe45324f603224345b904018754df04f94a5b1381d75c4a823b8960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11648",
    "kind": "arxiv",
    "version": 2
  }
}