Pith Number

pith:7WPFR4AD

pith:2017:7WPFR4ADG7YRTPQOP3IG2Z2E4K

not attested not anchored not stored refs pending

A survey on M. B. Levin's proofs for the exact lower discrepancy bounds of special sequences and point sets

Lisa Kaltenb\"ock, Wolfgang Stockinger

arxiv:1708.03189 v2 · 2017-08-10 · 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{7WPFR4ADG7YRTPQOP3IG2Z2E4K}

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	2026-05-18T00:21:04.766232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9e58f00337f119be0e7ed06d6744e2b6dd194f03a67215979f579d161e8f28

Aliases

arxiv: 1708.03189 · arxiv_version: 1708.03189v2 · doi: 10.48550/arxiv.1708.03189 · pith_short_12: 7WPFR4ADG7YR · pith_short_16: 7WPFR4ADG7YRTPQO · pith_short_8: 7WPFR4AD

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/7WPFR4ADG7YRTPQOP3IG2Z2E4K \
  | 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: fd9e58f00337f119be0e7ed06d6744e2b6dd194f03a67215979f579d161e8f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00d2cb19abb0c3b18fc7c25a127b88efab28f3de0460e4659d0ee567eb9a3476",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-10T12:51:38Z",
    "title_canon_sha256": "7ca66b34a44d8fc396608a741efc95c7cded88c26abb0e25ca8c439068809070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03189",
    "kind": "arxiv",
    "version": 2
  }
}