Pith Number

pith:OHFHZR7P

pith:2013:OHFHZR7PLAI6FH22M6PJQPQEOE

not attested not anchored not stored refs pending

Estimates of the Discrepancy Function in Exponential Orlicz Spaces

Dmitriy Bilyk, Gagik Amirkhanyan, Michael T Lacey

arxiv:1306.1766 v1 · 2013-06-07 · math.NT · 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{OHFHZR7PLAI6FH22M6PJQPQEOE}

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	2026-05-18T03:21:32.464411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71ca7cc7ef5811e29f5a679e983e04710c219c6b72a0ce0106af03749e1e0f02

Aliases

arxiv: 1306.1766 · arxiv_version: 1306.1766v1 · doi: 10.48550/arxiv.1306.1766 · pith_short_12: OHFHZR7PLAI6 · pith_short_16: OHFHZR7PLAI6FH22 · pith_short_8: OHFHZR7P

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/OHFHZR7PLAI6FH22M6PJQPQEOE \
  | 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: 71ca7cc7ef5811e29f5a679e983e04710c219c6b72a0ce0106af03749e1e0f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "718f6521d304a38a8a6d5b56431a4c122af5bfc0e6a8b54461f1af2887a96140",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-07T16:22:44Z",
    "title_canon_sha256": "ff21d644a9bb75e20f3524a8d6e611f97ef2228e9d463ee0c83c00f8887051fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1766",
    "kind": "arxiv",
    "version": 1
  }
}