Pith Number

pith:ATFTPDPZ

pith:2025:ATFTPDPZ6SJJCUI62JP6MPQ7LW

not attested not anchored not stored refs pending

A new class of aesthetic curves based on the self-affinity in equiaffine geometry

Kenji Kajiwara, Shun Kumagai

arxiv:2505.20713 v3 · 2025-05-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATFTPDPZ6SJJCUI62JP6MPQ7LW}

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	2026-06-09T01:04:38.697121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04cb378df9f49291511ed25fe63e1f5da8e9661f2701d065800c5c013cee9054

Aliases

arxiv: 2505.20713 · arxiv_version: 2505.20713v3 · doi: 10.48550/arxiv.2505.20713 · pith_short_12: ATFTPDPZ6SJJ · pith_short_16: ATFTPDPZ6SJJCUI6 · pith_short_8: ATFTPDPZ

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/ATFTPDPZ6SJJCUI62JP6MPQ7LW \
  | 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: 04cb378df9f49291511ed25fe63e1f5da8e9661f2701d065800c5c013cee9054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc23fe796273b0725a6d1b9d38cd3efbdbbce110d1ecc610a942f40ef8a181be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-27T04:39:47Z",
    "title_canon_sha256": "a676aec5ff5a0addb3b51c16a6c03201972f42ffb781b1e0fe1b5fd1e7a01c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20713",
    "kind": "arxiv",
    "version": 3
  }
}