Pith Number

pith:DENSQA26

pith:2010:DENSQA26EJLV7BEWPVDEDOQW6K

not attested not anchored not stored refs pending

Dilation theory in finite dimensions: the possible, the impossible and the unknown

Eliahu Levy, Orr Shalit

arxiv:1012.4514 v2 · 2010-12-21 · math.FA · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DENSQA26EJLV7BEWPVDEDOQW6K}

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	2026-05-18T02:30:48.095519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

191b28035e22575f84967d4641ba16f2a8017952f16427304353f34ee86ee22c

Aliases

arxiv: 1012.4514 · arxiv_version: 1012.4514v2 · doi: 10.48550/arxiv.1012.4514 · pith_short_12: DENSQA26EJLV · pith_short_16: DENSQA26EJLV7BEW · pith_short_8: DENSQA26

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/DENSQA26EJLV7BEWPVDEDOQW6K \
  | 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: 191b28035e22575f84967d4641ba16f2a8017952f16427304353f34ee86ee22c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34e89418dca9a134f61d869f8567ea33c33e8cc1d124be91f470562e55582d1e",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-21T00:06:15Z",
    "title_canon_sha256": "24a5d6791cb07cf6c74fb479f536f2afba98ade83c41564c86295d68a8a9f938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4514",
    "kind": "arxiv",
    "version": 2
  }
}