Pith Number

pith:S7UB57GK

pith:2009:S7UB57GKKUWAOTX5BE6UL3OBUC

not attested not anchored not stored refs pending

A Nonlinear Approach to Dimension Reduction

Lee-Ad Gottlieb, Robert Krauthgamer

arxiv:0907.5477 v4 · 2009-07-31 · cs.CG · cs.DS · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7UB57GKKUWAOTX5BE6UL3OBUC}

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	2026-05-18T01:55:58.605076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e81efcca552c074efd093d45edc1a0a0c9f307fcb48ae46582d123411eac7d

Aliases

arxiv: 0907.5477 · arxiv_version: 0907.5477v4 · doi: 10.48550/arxiv.0907.5477 · pith_short_12: S7UB57GKKUWA · pith_short_16: S7UB57GKKUWAOTX5 · pith_short_8: S7UB57GK

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/S7UB57GKKUWAOTX5BE6UL3OBUC \
  | 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: 97e81efcca552c074efd093d45edc1a0a0c9f307fcb48ae46582d123411eac7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c920371b4c9fc18df64322190fabd139377ee21b93a27d93ce922131aac02f92",
    "cross_cats_sorted": [
      "cs.DS",
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2009-07-31T07:10:04Z",
    "title_canon_sha256": "25770348fd7b697923d67e9c671baa627cb00a2e79a03e3f318be42c05866a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5477",
    "kind": "arxiv",
    "version": 4
  }
}