Pith Number

pith:UWTPG7TK

pith:2018:UWTPG7TKV5GNBQXU3MHACRQX3Q

not attested not anchored not stored refs pending

A concavity condition for existence of a negative Neumann-Poincar\'e eigenvalue in three dimensions

Hyeonbae Kang, Yong-Gwan Ji

arxiv:1808.10621 v2 · 2018-08-31 · 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{UWTPG7TKV5GNBQXU3MHACRQX3Q}

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	2026-05-18T00:02:09.153141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5a6f37e6aaf4cd0c2f4db0e014617dc02c8254a8f3d25b5c436e3c0894b9676

Aliases

arxiv: 1808.10621 · arxiv_version: 1808.10621v2 · doi: 10.48550/arxiv.1808.10621 · pith_short_12: UWTPG7TKV5GN · pith_short_16: UWTPG7TKV5GNBQXU · pith_short_8: UWTPG7TK

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/UWTPG7TKV5GNBQXU3MHACRQX3Q \
  | 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: a5a6f37e6aaf4cd0c2f4db0e014617dc02c8254a8f3d25b5c436e3c0894b9676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c855d5ad349e62b18500a494fe8cfad69d932cb43078e180e50238a0a8e8015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-08-31T07:58:01Z",
    "title_canon_sha256": "a90e4942859153d929029ccd9c48fd84c335b0adc15e6513ddfc7ab577f89443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10621",
    "kind": "arxiv",
    "version": 2
  }
}