Pith Number

pith:MIK3S5UO

pith:2017:MIK3S5UOWAWHPDVSIXTYUKUOHL

not attested not anchored not stored refs pending

First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs

Bobo Hua, Yan Huang, Zuoqin Wang

arxiv:1705.04484 v1 · 2017-05-12 · 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{MIK3S5UOWAWHPDVSIXTYUKUOHL}

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	2026-05-18T00:44:37.972038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6215b9768eb02c778eb245e78a2a8e3ae82896c2b365a4f00aebabe015e1a74f

Aliases

arxiv: 1705.04484 · arxiv_version: 1705.04484v1 · doi: 10.48550/arxiv.1705.04484 · pith_short_12: MIK3S5UOWAWH · pith_short_16: MIK3S5UOWAWHPDVS · pith_short_8: MIK3S5UO

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/MIK3S5UOWAWHPDVSIXTYUKUOHL \
  | 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: 6215b9768eb02c778eb245e78a2a8e3ae82896c2b365a4f00aebabe015e1a74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb215f2c5ea4000ef19bd07e19e11284980005fdd26862ab5ef537049776adc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-05-12T09:39:01Z",
    "title_canon_sha256": "5f4e05ae366b98fa35c76fba989cfd85972296512606d118d0c440b22c635645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04484",
    "kind": "arxiv",
    "version": 1
  }
}