Pith Number

pith:O4JVCA4A

pith:2018:O4JVCA4A3OSGTCJM6QWHGFPC3U

not attested not anchored not stored refs pending

When Locally Linear Embedding Hits Boundary

Hau-Tieng Wu, Nan Wu

arxiv:1811.04423 v3 · 2018-11-11 · 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{O4JVCA4A3OSGTCJM6QWHGFPC3U}

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	2026-07-05T08:37:03.047385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7713510380dba469892cf42c7315e2dd0042a0f04a86602c71816e87b650e43b

Aliases

arxiv: 1811.04423 · arxiv_version: 1811.04423v3 · doi: 10.48550/arxiv.1811.04423 · pith_short_12: O4JVCA4A3OSG · pith_short_16: O4JVCA4A3OSGTCJM · pith_short_8: O4JVCA4A

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/O4JVCA4A3OSGTCJM6QWHGFPC3U \
  | 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: 7713510380dba469892cf42c7315e2dd0042a0f04a86602c71816e87b650e43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b20c1340ab9f5da5aed5fa880e82ba87536700153fd2b2cc23926275c7e3a22",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-11-11T14:30:10Z",
    "title_canon_sha256": "d679ecf3591ec4b9650f705b954c6d997cfa6b7703b0afdba9e70c0f3f99bdc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04423",
    "kind": "arxiv",
    "version": 3
  }
}