Pith Number

pith:FSWAOBJ5

pith:2025:FSWAOBJ5ZO2KYYB6O343B33WE5

not attested not anchored not stored refs pending

Zeros of Harmonic Functions whose Caustic is a Non-Singular Image of an Epicycloid

Eli Sampson

arxiv:2508.06724 v1 · 2025-08-08 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSWAOBJ5ZO2KYYB6O343B33WE5}

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	2026-07-05T11:51:05.534863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cac07053dcbb4ac603e76f9b0ef762740f7b5d413efee4a4760873ac0b2e8bb

Aliases

arxiv: 2508.06724 · arxiv_version: 2508.06724v1 · doi: 10.48550/arxiv.2508.06724 · pith_short_12: FSWAOBJ5ZO2K · pith_short_16: FSWAOBJ5ZO2KYYB6 · pith_short_8: FSWAOBJ5

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/FSWAOBJ5ZO2KYYB6O343B33WE5 \
  | 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: 2cac07053dcbb4ac603e76f9b0ef762740f7b5d413efee4a4760873ac0b2e8bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08830572c572c3c3f6722a1bc8af07ab11cb09ba087a626cd1f971e88914458",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-08-08T21:44:01Z",
    "title_canon_sha256": "e85b0135c76fc6a6b9f012e2dc0366d16e15ee063a146109621d5de924a26997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06724",
    "kind": "arxiv",
    "version": 1
  }
}