Pith Number

pith:LBQGVMJZ

pith:2012:LBQGVMJZZ5GGOHIEZED5FDPCVX

not attested not anchored not stored refs pending

Dimension-free L2 maximal inequality for spherical means in the hypercube

Alexandra Kolla, Aram W. Harrow, Leonard J. Schulman

arxiv:1209.4148 v2 · 2012-09-19 · math.CO · 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{LBQGVMJZZ5GGOHIEZED5FDPCVX}

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	2026-05-18T02:50:52.047107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58606ab139cf4c671d04c907d28de2adf713eed15c151f1a55e8a48d754711c9

Aliases

arxiv: 1209.4148 · arxiv_version: 1209.4148v2 · doi: 10.48550/arxiv.1209.4148 · pith_short_12: LBQGVMJZZ5GG · pith_short_16: LBQGVMJZZ5GGOHIE · pith_short_8: LBQGVMJZ

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/LBQGVMJZZ5GGOHIEZED5FDPCVX \
  | 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: 58606ab139cf4c671d04c907d28de2adf713eed15c151f1a55e8a48d754711c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17349cd3d2d707920a73fd55a212eb1819bb29f7fceeb26bd78f3fbec4986f52",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-19T04:52:28Z",
    "title_canon_sha256": "855bc9ffa210eedee4db92d5c1f639b14bd70f0adfc26f0ac6cbc8b1aaaf8d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4148",
    "kind": "arxiv",
    "version": 2
  }
}