Pith Number

pith:5F2IE5YT

pith:2016:5F2IE5YTUZTNILAWA5LQ2CFSCC

not attested not anchored not stored refs pending

Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure

Alexander Logunov

arxiv:1605.02587 v2 · 2016-05-09 · math.AP · math.CA · math.DG · 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{5F2IE5YTUZTNILAWA5LQ2CFSCC}

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	2026-05-17T23:45:10.320437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e974827713a666d42c1607570d08b210a9bed7c139d7295023e330139501093a

Aliases

arxiv: 1605.02587 · arxiv_version: 1605.02587v2 · doi: 10.48550/arxiv.1605.02587 · pith_short_12: 5F2IE5YTUZTN · pith_short_16: 5F2IE5YTUZTNILAW · pith_short_8: 5F2IE5YT

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/5F2IE5YTUZTNILAWA5LQ2CFSCC \
  | 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: e974827713a666d42c1607570d08b210a9bed7c139d7295023e330139501093a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ee147916e09cce7a7cba6e8f6d6e8778cbfe8e6a80363e46f05e67db8633b7",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-09T13:55:12Z",
    "title_canon_sha256": "374db7475d5454e1376b0597e857499aff4f02bcbab900c0ac53b39ce2a5b475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02587",
    "kind": "arxiv",
    "version": 2
  }
}