Pith Number

pith:WP3DTEIP

pith:2026:WP3DTEIPTTUDXANMW6YBYGN2QJ

not attested not anchored not stored refs pending

Empirical Hodge Laplacians, Cohomology Ring, and Manifold Learning

H\^ong V\^an L\^e

arxiv:2605.22265 v1 · 2026-05-21 · math.DG · math.AT · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WP3DTEIPTTUDXANMW6YBYGN2QJ}

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	2026-05-22T01:04:35.171875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f639910f9ce83b81acb7b01c19ba8240acae296420623e2d250eca2070a92d

Aliases

arxiv: 2605.22265 · arxiv_version: 2605.22265v1 · doi: 10.48550/arxiv.2605.22265 · pith_short_12: WP3DTEIPTTUD · pith_short_16: WP3DTEIPTTUDXANM · pith_short_8: WP3DTEIP

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/WP3DTEIPTTUDXANMW6YBYGN2QJ \
  | 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: b3f639910f9ce83b81acb7b01c19ba8240acae296420623e2d250eca2070a92d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7ca490ee250c2c8a1f1cb94628fe78fe6862e4f616d81c487f5f91429b966b",
    "cross_cats_sorted": [
      "math.AT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-21T10:09:14Z",
    "title_canon_sha256": "910f12038a0843767644604def07bac7c4f2dd603ef1d0d914bfadc5f69f0921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22265",
    "kind": "arxiv",
    "version": 1
  }
}