Pith Number

pith:PAPVYHKX

pith:2018:PAPVYHKXJBA57LHZKA2MBPWEV6

not attested not anchored not stored refs pending

On the minimal Hamming weight of a multi-base representation

Daniel Krenn, Stephan Wagner, Vorapong Suppakitpaisarn

arxiv:1808.06330 v2 · 2018-08-20 · 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{PAPVYHKXJBA57LHZKA2MBPWEV6}

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	2026-05-17T23:40:49.534739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781f5c1d574841dfacf95034c0bec4afa8115abc0e6b5e74e7b5455c3b446286

Aliases

arxiv: 1808.06330 · arxiv_version: 1808.06330v2 · doi: 10.48550/arxiv.1808.06330 · pith_short_12: PAPVYHKXJBA5 · pith_short_16: PAPVYHKXJBA57LHZ · pith_short_8: PAPVYHKX

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/PAPVYHKXJBA57LHZKA2MBPWEV6 \
  | 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: 781f5c1d574841dfacf95034c0bec4afa8115abc0e6b5e74e7b5455c3b446286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "777e0a6af6ac47b1604d720902c72c5de3d659fc1beea53f11a3f2dacbc92743",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-20T07:38:17Z",
    "title_canon_sha256": "545b31fcba4a8e8e0786a174e6293c55a7402493352e398a5331d0646af0cf07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06330",
    "kind": "arxiv",
    "version": 2
  }
}