Pith Number

pith:P4ZZUW3N

pith:2016:P4ZZUW3NTIFKIJ7Q7CSWKQRA62

not attested not anchored not stored refs pending

Nodal Domains of Eigenvectors for $1$-Laplacian on Graphs

Dong Zhang, K.C. Chang, Sihong Shao

arxiv:1602.07472 v1 · 2016-02-24 · 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{P4ZZUW3NTIFKIJ7Q7CSWKQRA62}

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	2026-05-18T00:53:34.582758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f339a5b6d9a0aa427f0f8a5654220f69dacab83efa92d587cdeb28deb0522f6

Aliases

arxiv: 1602.07472 · arxiv_version: 1602.07472v1 · doi: 10.48550/arxiv.1602.07472 · pith_short_12: P4ZZUW3NTIFK · pith_short_16: P4ZZUW3NTIFKIJ7Q · pith_short_8: P4ZZUW3N

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/P4ZZUW3NTIFKIJ7Q7CSWKQRA62 \
  | 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: 7f339a5b6d9a0aa427f0f8a5654220f69dacab83efa92d587cdeb28deb0522f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "253ed1a7458c0942777e7910b9ffa94b37e2d4e155d4dffd78a987575eaef69d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-02-24T11:41:43Z",
    "title_canon_sha256": "c7fe77fa890013efa5fb360637decf00731231cf39e75d4760af08843946fbe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07472",
    "kind": "arxiv",
    "version": 1
  }
}