Pith Number

pith:OYXCNREL

pith:2015:OYXCNREL23VXU43BO5DJLOG6QR

not attested not anchored not stored refs pending

An exact formula for the $L_2$ discrepancy of the symmetrized Hammersley point set

Ralph Kritzinger

arxiv:1509.01818 v2 · 2015-09-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYXCNREL23VXU43BO5DJLOG6QR}

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	2026-05-17T23:56:39.209827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762e26c48bd6eb7a7361774695b8de8449c4037bde85e94c1146438f45da012a

Aliases

arxiv: 1509.01818 · arxiv_version: 1509.01818v2 · doi: 10.48550/arxiv.1509.01818 · pith_short_12: OYXCNREL23VX · pith_short_16: OYXCNREL23VXU43B · pith_short_8: OYXCNREL

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/OYXCNREL23VXU43BO5DJLOG6QR \
  | 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: 762e26c48bd6eb7a7361774695b8de8449c4037bde85e94c1146438f45da012a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ad8c5510d8c7da9a2b189ebbf6fb6e20a0af7c10d77f1e6a92b29978a0100d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-06T14:58:05Z",
    "title_canon_sha256": "4c5b19e9337a92aeec49230e9a886be9b4322b73546c82e100788a9623e1f545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01818",
    "kind": "arxiv",
    "version": 2
  }
}