Pith Number

pith:IOHPCUMQ

pith:2016:IOHPCUMQI2UVU54TOUOFKMOECF

not attested not anchored not stored refs pending

Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture

Alexander Logunov

arxiv:1605.02589 v3 · 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{IOHPCUMQI2UVU54TOUOFKMOECF}

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	2026-05-17T23:45:10.311939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438ef1519046a95a7793751c5531c4116b675a268e4eb7b6a739a9e10513bb0c

Aliases

arxiv: 1605.02589 · arxiv_version: 1605.02589v3 · doi: 10.48550/arxiv.1605.02589 · pith_short_12: IOHPCUMQI2UV · pith_short_16: IOHPCUMQI2UVU54T · pith_short_8: IOHPCUMQ

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/IOHPCUMQI2UVU54TOUOFKMOECF \
  | 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: 438ef1519046a95a7793751c5531c4116b675a268e4eb7b6a739a9e10513bb0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa1f3e8cea4dad94a2208e5c13768531f572a0a77462497a639c91a9724418eb",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-09T14:03:22Z",
    "title_canon_sha256": "f5e010da14b538ff8f8dd72a5fd23248dafd21bacbad9aac4306c8383ddf0f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02589",
    "kind": "arxiv",
    "version": 3
  }
}