Pith Number

pith:FWPO4CUJ

pith:2015:FWPO4CUJ3HHR2HKFEH7KXYUAQM

not attested not anchored not stored refs pending

Lower bounds for interior nodal sets of Steklov eigenfunctions

Christopher D. Sogge, Jiuyi Zhu, Xing Wang

arxiv:1503.01091 v2 · 2015-03-03 · 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{FWPO4CUJ3HHR2HKFEH7KXYUAQM}

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	2026-05-18T02:20:12.169807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9eee0a89d9cf1d1d4521feabe280831f548539c8b8c70c15fb035bbaed6498

Aliases

arxiv: 1503.01091 · arxiv_version: 1503.01091v2 · doi: 10.48550/arxiv.1503.01091 · pith_short_12: FWPO4CUJ3HHR · pith_short_16: FWPO4CUJ3HHR2HKF · pith_short_8: FWPO4CUJ

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/FWPO4CUJ3HHR2HKFEH7KXYUAQM \
  | 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: 2d9eee0a89d9cf1d1d4521feabe280831f548539c8b8c70c15fb035bbaed6498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c890bb1e5db32e8a203eb4ff8aa508661eccab02b5be7ea87da28a098a9e7ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-03T20:30:50Z",
    "title_canon_sha256": "2d287e7bbcbb5b30777f2b48603ff13655ee2f76989ead7b29455464bab6bdb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01091",
    "kind": "arxiv",
    "version": 2
  }
}