Pith Number

pith:GNBSYBJK

pith:2017:GNBSYBJKJ7GYZJVDWLXAWHSWJR

not attested not anchored not stored refs pending

An upper bound on the minimal dispersion

Jan Vyb\'iral, Mario Ullrich

arxiv:1710.06754 v2 · 2017-09-28 · math.CA · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNBSYBJKJ7GYZJVDWLXAWHSWJR}

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	2026-06-04T19:11:06.063219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33432c052a4fcd8ca6a3b2ee0b1e564c4855b06bfd1dc3e6dc93dbb45a4891cb

Aliases

arxiv: 1710.06754 · arxiv_version: 1710.06754v2 · doi: 10.48550/arxiv.1710.06754 · pith_short_12: GNBSYBJKJ7GY · pith_short_16: GNBSYBJKJ7GYZJVD · pith_short_8: GNBSYBJK

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/GNBSYBJKJ7GYZJVDWLXAWHSWJR \
  | 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: 33432c052a4fcd8ca6a3b2ee0b1e564c4855b06bfd1dc3e6dc93dbb45a4891cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c166eeca92de2b094ab542f03c025f5c4c89fdbdf27676d4aaab78e326219ff8",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-28T19:45:11Z",
    "title_canon_sha256": "c55beb67dbe9efee57974f55c349637bea4650c2817f87e5f935682c3081f84a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06754",
    "kind": "arxiv",
    "version": 2
  }
}