Pith Number

pith:RS5TN5XL

pith:2016:RS5TN5XLVIVPP4RVOBVQ4UBV2Q

not attested not anchored not stored refs pending

Improving Kaufman's exceptional set estimate for packing dimension

Tuomas Orponen

arxiv:1610.06745 v2 · 2016-10-21 · math.CA · 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{RS5TN5XLVIVPP4RVOBVQ4UBV2Q}

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	2026-05-18T00:59:18.582893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cbb36f6ebaa2af7f235706b0e5035d41a8f30f5a1d33985d60c37dae8d66149

Aliases

arxiv: 1610.06745 · arxiv_version: 1610.06745v2 · doi: 10.48550/arxiv.1610.06745 · pith_short_12: RS5TN5XLVIVP · pith_short_16: RS5TN5XLVIVPP4RV · pith_short_8: RS5TN5XL

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/RS5TN5XLVIVPP4RVOBVQ4UBV2Q \
  | 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: 8cbb36f6ebaa2af7f235706b0e5035d41a8f30f5a1d33985d60c37dae8d66149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66adc7eaa94d6e2ee6c98418a140002a25cc27f7978e884ebb51485f41687cd5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-21T11:40:27Z",
    "title_canon_sha256": "fb15b619ab9887ce349705c0f0e25c99d574c1b02dca7b20e2b5e372a34d2915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06745",
    "kind": "arxiv",
    "version": 2
  }
}