Pith Number

pith:L7ZF6HLC

pith:2017:L7ZF6HLCMPTYIRH27JVPW57JJ2

not attested not anchored not stored refs pending

An estimate for the average number of common zeros of Laplacian eigenfunctions

Boris Kazarnovskii, Dmitri Akhiezer

arxiv:1702.02801 v3 · 2017-02-09 · 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{L7ZF6HLCMPTYIRH27JVPW57JJ2}

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	2026-05-18T00:24:10.385611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff25f1d6263e78444fafa6afb77e94eabf90be161d0f255f6342c978643be2b

Aliases

arxiv: 1702.02801 · arxiv_version: 1702.02801v3 · doi: 10.48550/arxiv.1702.02801 · pith_short_12: L7ZF6HLCMPTY · pith_short_16: L7ZF6HLCMPTYIRH2 · pith_short_8: L7ZF6HLC

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/L7ZF6HLCMPTYIRH27JVPW57JJ2 \
  | 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: 5ff25f1d6263e78444fafa6afb77e94eabf90be161d0f255f6342c978643be2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f96cfe2a00bb915de1abbea46724c31626499411691a29b46535569f34ab6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-02-09T12:15:07Z",
    "title_canon_sha256": "722e59a251bc70a0118fee44e44894aeae416d5ef1f68adfc8344fe54eadac75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02801",
    "kind": "arxiv",
    "version": 3
  }
}