Pith Number

pith:VDSGB4WG

pith:2018:VDSGB4WGWPHIGP7U5ZFEA5CW77

not attested not anchored not stored refs pending

Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs

Bobo Hua, Yan Huang, Zuoqin Wang

arxiv:1810.10763 v1 · 2018-10-25 · math-ph · math.CO · math.FA · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDSGB4WGWPHIGP7U5ZFEA5CW77}

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	2026-05-18T00:02:19.726635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e460f2c6b3ce833ff4ee4a407456ffc54d4bfe4e29498f16d50993b96eaf10

Aliases

arxiv: 1810.10763 · arxiv_version: 1810.10763v1 · doi: 10.48550/arxiv.1810.10763 · pith_short_12: VDSGB4WGWPHI · pith_short_16: VDSGB4WGWPHIGP7U · pith_short_8: VDSGB4WG

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/VDSGB4WGWPHIGP7U5ZFEA5CW77 \
  | 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: a8e460f2c6b3ce833ff4ee4a407456ffc54d4bfe4e29498f16d50993b96eaf10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12f8b2507bd824a0abf5ea3b4144821b9392b9ab1d819201e3e907548d6312e4",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-25T08:31:32Z",
    "title_canon_sha256": "88f1a32be1493a27643fed7249762ca373d146ac1147532f076e6679495ae3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10763",
    "kind": "arxiv",
    "version": 1
  }
}