Pith Number

pith:7Z6XFCZE

pith:2014:7Z6XFCZE2QNBPFIIDUU4LRMCHK

not attested not anchored not stored refs pending

A lower bound for the nodal sets of Steklov eigenfunctions

Jiuyi Zhu, Xing Wang

arxiv:1411.0708 v2 · 2014-11-03 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Z6XFCZE2QNBPFIIDUU4LRMCHK}

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	2026-05-18T02:19:35.892477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7d728b24d41a1795081d29c5c5823a834423dff79c14e7689cb73fd3978b6d

Aliases

arxiv: 1411.0708 · arxiv_version: 1411.0708v2 · doi: 10.48550/arxiv.1411.0708 · pith_short_12: 7Z6XFCZE2QNB · pith_short_16: 7Z6XFCZE2QNBPFII · pith_short_8: 7Z6XFCZE

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/7Z6XFCZE2QNBPFIIDUU4LRMCHK \
  | 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: fe7d728b24d41a1795081d29c5c5823a834423dff79c14e7689cb73fd3978b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bc0f44600d5f05fe27bd83ddbc88a9f3208bc24b2a7dad494c79bde6dc24f09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-03T21:36:16Z",
    "title_canon_sha256": "5549be04efeb4a7af6a64c56566a63de49cb552a267dc8661f62a9f4b3563223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0708",
    "kind": "arxiv",
    "version": 2
  }
}