Pith Number

pith:3HEDDDIK

pith:2019:3HEDDDIKCMKDHUQPKLU43FALW7

not attested not anchored not stored refs pending

Review of Yau's conjecture on zero sets of Laplace eigenfunctions

Alexander Logunov, Eugenia Malinnikova

arxiv:1908.01639 v1 · 2019-08-05 · math.AP · math.CA · math.CV · 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{3HEDDDIKCMKDHUQPKLU43FALW7}

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	2026-07-04T23:51:32.426770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c8318d0a131433d20f52e9cd940bb7e0577a31b23e12640663ecb7b6560f6b

Aliases

arxiv: 1908.01639 · arxiv_version: 1908.01639v1 · doi: 10.48550/arxiv.1908.01639 · pith_short_12: 3HEDDDIKCMKD · pith_short_16: 3HEDDDIKCMKDHUQP · pith_short_8: 3HEDDDIK

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/3HEDDDIKCMKDHUQPKLU43FALW7 \
  | 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: d9c8318d0a131433d20f52e9cd940bb7e0577a31b23e12640663ecb7b6560f6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e72995b6362771c07df22b5765377c4e84e78f4a10f8f402becc3dec81a3a2",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-05T14:16:07Z",
    "title_canon_sha256": "635eb1dab933589978f5b84edb839fbd6ff33b724b250df89821e8ae9be2d29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01639",
    "kind": "arxiv",
    "version": 1
  }
}