Pith Number

pith:M3B3V7ID

pith:2012:M3B3V7IDQ3RHFL3BIHKOLE445W

not attested not anchored not stored refs pending

A hybrid inequality of Erd\"os-Tur\'an-Koksma for digital sequences

Peter Hellekalek

arxiv:1211.1804 v1 · 2012-11-08 · 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{M3B3V7IDQ3RHFL3BIHKOLE445W}

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	2026-05-18T03:41:13.418254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c3bafd0386e272af6141d4e5939ced96978612af0f6eb6428e0f6f9c837e4b

Aliases

arxiv: 1211.1804 · arxiv_version: 1211.1804v1 · doi: 10.48550/arxiv.1211.1804 · pith_short_12: M3B3V7IDQ3RH · pith_short_16: M3B3V7IDQ3RHFL3B · pith_short_8: M3B3V7ID

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/M3B3V7IDQ3RHFL3BIHKOLE445W \
  | 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: 66c3bafd0386e272af6141d4e5939ced96978612af0f6eb6428e0f6f9c837e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b2e26d99d9e2a9f30dca263d7e0a93f541bb943f913d354c50c56464db269d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-08T09:39:01Z",
    "title_canon_sha256": "ec254f3f7c99351eb25e2bc66ca5fb71da35d23d7e4e46226b8cc2e10017d43d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1804",
    "kind": "arxiv",
    "version": 1
  }
}