Pith Number

pith:NZD4QG7F

pith:2015:NZD4QG7FAJSI2XMGBCOG2M6OKN

not attested not anchored not stored refs pending

A review on large k minimal spectral k-partitions and Pleijel's Theorem

Bernard Helffer, Thomas Hoffmann-Ostenhof

arxiv:1509.04501 v1 · 2015-09-15 · 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{NZD4QG7FAJSI2XMGBCOG2M6OKN}

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	2026-05-18T01:32:58.724286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e47c81be502648d5d86089c6d33ce5363341d3dbee287f2c6b788e207be1d89

Aliases

arxiv: 1509.04501 · arxiv_version: 1509.04501v1 · doi: 10.48550/arxiv.1509.04501 · pith_short_12: NZD4QG7FAJSI · pith_short_16: NZD4QG7FAJSI2XMG · pith_short_8: NZD4QG7F

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/NZD4QG7FAJSI2XMGBCOG2M6OKN \
  | 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: 6e47c81be502648d5d86089c6d33ce5363341d3dbee287f2c6b788e207be1d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc40ed1fce6429c7e221621a5c903eedc5d57b7c666ef965a06d2659c828c7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-09-15T11:33:06Z",
    "title_canon_sha256": "c985dd8e7bd49884ab0ea7be8f1758154971c3f40efea12ca693a8b837c474aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04501",
    "kind": "arxiv",
    "version": 1
  }
}