Pith Number

pith:T5AGHH4K

pith:2015:T5AGHH4K6BQS4NCYZGRRRBQFXZ

not attested not anchored not stored refs pending

A conditional limit theorem for high-dimensional $\ell^{p}$ spheres

Kavita Ramanan, Steven Soojin Kim

arxiv:1509.05442 v2 · 2015-09-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5AGHH4K6BQS4NCYZGRRRBQFXZ}

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	2026-05-18T00:12:50.971648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f40639f8af0612e3458c9a3188605be54bd4c3b57db78fb2459594a927cdcf1

Aliases

arxiv: 1509.05442 · arxiv_version: 1509.05442v2 · doi: 10.48550/arxiv.1509.05442 · pith_short_12: T5AGHH4K6BQS · pith_short_16: T5AGHH4K6BQS4NCY · pith_short_8: T5AGHH4K

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/T5AGHH4K6BQS4NCYZGRRRBQFXZ \
  | 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: 9f40639f8af0612e3458c9a3188605be54bd4c3b57db78fb2459594a927cdcf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "580d2748e489518e8a71c32f80301c0b03a23bebc144b38122dc6782c405ea55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-17T20:57:17Z",
    "title_canon_sha256": "cbf9f4287633c48340822a956e85ab9a225c5ddf65f892525e07ea3f4a517d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05442",
    "kind": "arxiv",
    "version": 2
  }
}