Pith Number

pith:HICOVNQL

pith:2012:HICOVNQLDT7ZMPMML7UXOPEYZZ

not attested not anchored not stored refs pending

On packing measures and a theorem of Besicovitch

Ignacio Garc\'ia, Pablo Shmerkin

arxiv:1205.6224 v1 · 2012-05-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HICOVNQLDT7ZMPMML7UXOPEYZZ}

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	2026-05-18T01:27:46.880796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a04eab60b1cff963d8c5fe9773c98ce6e778b0dd99f66d9962ea044fe60a53d

Aliases

arxiv: 1205.6224 · arxiv_version: 1205.6224v1 · doi: 10.48550/arxiv.1205.6224 · pith_short_12: HICOVNQLDT7Z · pith_short_16: HICOVNQLDT7ZMPMM · pith_short_8: HICOVNQL

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/HICOVNQLDT7ZMPMML7UXOPEYZZ \
  | 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: 3a04eab60b1cff963d8c5fe9773c98ce6e778b0dd99f66d9962ea044fe60a53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dcf95b0829799d527f3a864c2a58e9ecb7eb240a81441aac32096eaa9dc9424",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-28T22:12:35Z",
    "title_canon_sha256": "9479f3e065fa600f72c91b4eb883ea8d305def6e9e0cf168c3c29fda5585eedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6224",
    "kind": "arxiv",
    "version": 1
  }
}