Pith Number

pith:FWV2QN3H

pith:2014:FWV2QN3HVJOGNZ7ZNPBMV6KOAY

not attested not anchored not stored refs pending

Doubling property and vanishing order of Steklov eigenfunctions

Jiuyi Zhu

arxiv:1407.1448 v1 · 2014-07-06 · math.AP · 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{FWV2QN3HVJOGNZ7ZNPBMV6KOAY}

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	2026-05-18T02:48:16.562874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2daba83767aa5c66e7f96bc2caf94e060d218d5be8a933f809130821ed5bb0a9

Aliases

arxiv: 1407.1448 · arxiv_version: 1407.1448v1 · doi: 10.48550/arxiv.1407.1448 · pith_short_12: FWV2QN3HVJOG · pith_short_16: FWV2QN3HVJOGNZ7Z · pith_short_8: FWV2QN3H

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/FWV2QN3HVJOGNZ7ZNPBMV6KOAY \
  | 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: 2daba83767aa5c66e7f96bc2caf94e060d218d5be8a933f809130821ed5bb0a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32fe60cbb9f7506137194804edf5a9e455d128132fd1be98c5dcd1121bd5031",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-06T00:48:48Z",
    "title_canon_sha256": "3f476b395f851cb7f7cfdce6bfd498e0d5dbf3d585b08402bb7548f652ea54a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1448",
    "kind": "arxiv",
    "version": 1
  }
}