Pith Number

pith:BTNKQVEN

pith:2020:BTNKQVENXM3ZF6WHB4E6RH2VIM

not attested not anchored not stored refs pending

Lissajous curves with a finite sum of prime number frequencies

Imre F. Barna, L. M\'aty\'as

arxiv:2009.01687 v1 · 2020-09-01 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTNKQVENXM3ZF6WHB4E6RH2VIM}

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.

Cited by

1 paper in Pith

Common Fate for Animated Transitions in Visualization

Receipt and verification

First computed	2026-07-05T05:06:49.279901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cdaa8548dbb3792fac70f09e89f554302eede866f59fd2b392db5c284e743cf

Aliases

arxiv: 2009.01687 · arxiv_version: 2009.01687v1 · doi: 10.48550/arxiv.2009.01687 · pith_short_12: BTNKQVENXM3Z · pith_short_16: BTNKQVENXM3ZF6WH · pith_short_8: BTNKQVEN

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/BTNKQVENXM3ZF6WHB4E6RH2VIM \
  | 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: 0cdaa8548dbb3792fac70f09e89f554302eede866f59fd2b392db5c284e743cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab76099c88110f2eacfad300b5b06816bf078cdc06e5b0e0adc131b907521d1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2020-09-01T14:33:16Z",
    "title_canon_sha256": "7bfa1b2765842f17fa6ce43a1480984a7994cc77863f8d217977066646f61618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.01687",
    "kind": "arxiv",
    "version": 1
  }
}