Pith Number

pith:IFJQOZNS

pith:2013:IFJQOZNSQTQHBB5I5Z6FXSP6CB

not attested not anchored not stored refs pending

Metrical lower bounds on the discrepancy of digital Kronecker-sequences

Friedrich Pillichshammer, Gerhard Larcher

arxiv:1302.5267 v1 · 2013-02-21 · 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{IFJQOZNSQTQHBB5I5Z6FXSP6CB}

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	2026-05-18T03:32:58.237313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41530765b284e07087a8ee7c5bc9fe106a9bb6db975e169e4fc1ecd843bd5018

Aliases

arxiv: 1302.5267 · arxiv_version: 1302.5267v1 · doi: 10.48550/arxiv.1302.5267 · pith_short_12: IFJQOZNSQTQH · pith_short_16: IFJQOZNSQTQHBB5I · pith_short_8: IFJQOZNS

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/IFJQOZNSQTQHBB5I5Z6FXSP6CB \
  | 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: 41530765b284e07087a8ee7c5bc9fe106a9bb6db975e169e4fc1ecd843bd5018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a12f881285f384ae690d5cccaa3e9b0997ff6d310ed5691d5379ca674768969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-21T12:46:08Z",
    "title_canon_sha256": "1f9e084ab991f35a0743886ccb9e791c79270ef7b0b37ef988a0c903b38cb57e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5267",
    "kind": "arxiv",
    "version": 1
  }
}