Pith Number

pith:ZCX4UUZ2

pith:2019:ZCX4UUZ2XQBRWHTG34IMD733UY

not attested not anchored not stored refs pending

Geometric structure of graph Laplacian embeddings

Bamdad Hosseini, Franca Hoffmann, Nicolas Garcia Trillos

arxiv:1901.10651 v1 · 2019-01-30 · math.SP · math.AP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCX4UUZ2XQBRWHTG34IMD733UY}

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	2026-05-17T23:55:06.385234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8afca533abc031b1e66df10c1ff7ba60187639ed1b7cc1dc0941e4b26531540

Aliases

arxiv: 1901.10651 · arxiv_version: 1901.10651v1 · doi: 10.48550/arxiv.1901.10651 · pith_short_12: ZCX4UUZ2XQBR · pith_short_16: ZCX4UUZ2XQBRWHTG · pith_short_8: ZCX4UUZ2

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/ZCX4UUZ2XQBRWHTG34IMD733UY \
  | 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: c8afca533abc031b1e66df10c1ff7ba60187639ed1b7cc1dc0941e4b26531540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48de0eeff06800714b4520eaffcb5d9df849554c94a1e21ec782403cbdc1186f",
    "cross_cats_sorted": [
      "math.AP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-01-30T02:46:02Z",
    "title_canon_sha256": "2b9bca149d4da2c5db7b3ac1be4b2e77d43c1545dc83bcaacc7dcfe0d2806eba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10651",
    "kind": "arxiv",
    "version": 1
  }
}