Pith Number

pith:OVJD7W23

pith:2013:OVJD7W2322E2X772J7IXMDWMHJ

not attested not anchored not stored refs pending

A metrical lower bound on the star discrepancy of digital sequences

Friedrich Pillichshammer, Gerhard Larcher

arxiv:1302.4251 v1 · 2013-02-18 · 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{OVJD7W2322E2X772J7IXMDWMHJ}

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	2026-05-18T03:33:23.560308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75523fdb5bd689abfffa4fd1760ecc3a7058ad4825941345c7a0d49073f37d78

Aliases

arxiv: 1302.4251 · arxiv_version: 1302.4251v1 · doi: 10.48550/arxiv.1302.4251 · pith_short_12: OVJD7W2322E2 · pith_short_16: OVJD7W2322E2X772 · pith_short_8: OVJD7W23

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/OVJD7W2322E2X772J7IXMDWMHJ \
  | 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: 75523fdb5bd689abfffa4fd1760ecc3a7058ad4825941345c7a0d49073f37d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53351b6b22550d3b3d3f2ff2545d7a7b8a80ac187b11fdf132d9c77123c6124f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-18T12:54:20Z",
    "title_canon_sha256": "f1f8070c1b8733fa0024eab0f351da5a1e145f8c757482ce8c6c3d32fa99fc7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4251",
    "kind": "arxiv",
    "version": 1
  }
}