Pith Number

pith:WQ7CSLBV

pith:2012:WQ7CSLBVNGE7E6NALMSCMB7UOA

not attested not anchored not stored refs pending

Graph Laplacians on Singular Manifolds: Toward understanding complex spaces: graph Laplacians on manifolds with singularities and boundaries

Mikhail Belkin, Qichao Que, Xueyuan Zhou, Yusu Wang

arxiv:1211.6727 v1 · 2012-11-28 · cs.AI · cs.CG · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQ7CSLBVNGE7E6NALMSCMB7UOA}

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	2026-05-18T03:39:43.963242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43e292c356989f279a05b242607f47002bc9682ad8d96f7d6c5540639e3a80a

Aliases

arxiv: 1211.6727 · arxiv_version: 1211.6727v1 · doi: 10.48550/arxiv.1211.6727 · pith_short_12: WQ7CSLBVNGE7 · pith_short_16: WQ7CSLBVNGE7E6NA · pith_short_8: WQ7CSLBV

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/WQ7CSLBVNGE7E6NALMSCMB7UOA \
  | 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: b43e292c356989f279a05b242607f47002bc9682ad8d96f7d6c5540639e3a80a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d80355cd3ef58aca31a35a0411f2a1acd603e54ca5ba1b73266b7616b600a788",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2012-11-28T20:10:42Z",
    "title_canon_sha256": "9bc9ecda31efed5e2104235a93580a5993c450c1cbe44ea391cde56cd5ce8aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6727",
    "kind": "arxiv",
    "version": 1
  }
}