Pith Number

pith:QGGYAQ5N

pith:2026:QGGYAQ5NQRNGK2VMRRJ2YMUX3Y

not attested not anchored not stored refs pending

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics

Muthu Veerappan Ramalingam, Zbigniew Fiedorowicz

arxiv:2601.17358 v5 · 2026-01-24 · math.HO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGGYAQ5NQRNGK2VMRRJ2YMUX3Y}

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	2026-06-11T01:09:27.246822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818d8043ad845a656aac8c53ac3297de3ce3cfa694951e5c09a73c1031dbd05c

Aliases

arxiv: 2601.17358 · arxiv_version: 2601.17358v5 · doi: 10.48550/arxiv.2601.17358 · pith_short_12: QGGYAQ5NQRNG · pith_short_16: QGGYAQ5NQRNGK2VM · pith_short_8: QGGYAQ5N

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/QGGYAQ5NQRNGK2VMRRJ2YMUX3Y \
  | 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: 818d8043ad845a656aac8c53ac3297de3ce3cfa694951e5c09a73c1031dbd05c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d611e51a1a34eac82c2bc266c4843303ef213a7adea3f60b68b486dbf063a21",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2026-01-24T08:08:16Z",
    "title_canon_sha256": "33addded01c25dbfa19a1ea8b594c4c9f10a738ecd8b69fcc9b2fe2771e956cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.17358",
    "kind": "arxiv",
    "version": 5
  }
}