Pith Number

pith:IWWGLE4R

pith:2013:IWWGLE4RZ2KL4MWADXADFIOD7I

not attested not anchored not stored refs pending

On the Impossibility of Dimension Reduction for Doubling Subsets of $\ell_p$, $p>2$

Lee-Ad Gottlieb, Ofer Neiman, Yair Bartal

arxiv:1308.4996 v1 · 2013-08-22 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWWGLE4RZ2KL4MWADXADFIOD7I}

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	2026-05-18T03:15:17.726516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ac659391ce94be32c01dc032a1c3fa2d87f385c57c3a68967e7f80d47472d0

Aliases

arxiv: 1308.4996 · arxiv_version: 1308.4996v1 · doi: 10.48550/arxiv.1308.4996 · pith_short_12: IWWGLE4RZ2KL · pith_short_16: IWWGLE4RZ2KL4MWA · pith_short_8: IWWGLE4R

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/IWWGLE4RZ2KL4MWADXADFIOD7I \
  | 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: 45ac659391ce94be32c01dc032a1c3fa2d87f385c57c3a68967e7f80d47472d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "417221d6758d2372bf46eb2d6f5f6e20b1663856fd368b6335f251a970c44f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-08-22T21:34:33Z",
    "title_canon_sha256": "70335772079a59e275618b8985a9ed9a1b45287d287c84f0919d7efee2433603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4996",
    "kind": "arxiv",
    "version": 1
  }
}