Pith Number

pith:ZYAR5RZ6

pith:2023:ZYAR5RZ6OCEQTUXC3JWNRN72DM

not attested not anchored not stored refs pending

A tight lower bound on the minimal dispersion

Jan Volec, Jan Vyb\'iral, Mat\v{e}j Tr\"odler

arxiv:2311.10666 v3 · 2023-11-17 · math.NA · cs.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{ZYAR5RZ6OCEQTUXC3JWNRN72DM}

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	2026-06-12T01:09:03.995745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce011ec73e708909d2e2da6cd8b7fa1b01b2b7055beb2347113eac1a7c4b882c

Aliases

arxiv: 2311.10666 · arxiv_version: 2311.10666v3 · doi: 10.48550/arxiv.2311.10666 · pith_short_12: ZYAR5RZ6OCEQ · pith_short_16: ZYAR5RZ6OCEQTUXC · pith_short_8: ZYAR5RZ6

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/ZYAR5RZ6OCEQTUXC3JWNRN72DM \
  | 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: ce011ec73e708909d2e2da6cd8b7fa1b01b2b7055beb2347113eac1a7c4b882c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0fa092c30860b43cdac5bba4c5addf33fcb471c9fa6eca80d464ae67981d61",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-11-17T17:39:36Z",
    "title_canon_sha256": "617cb1f9fd452fa04e5ae921dd99f61976f71807385a801cad9480bddddbf7c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.10666",
    "kind": "arxiv",
    "version": 3
  }
}