Pith Number

pith:IGDLHRR5

pith:2025:IGDLHRR5CTJDZ2KIUE36UAWCQG

not attested not anchored not stored refs pending

Entire conformal curves are affine or have super-Euclidean energy growth

Toni Ikonen

arxiv:2509.04414 v1 · 2025-09-04 · math.DG · 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{IGDLHRR5CTJDZ2KIUE36UAWCQG}

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	2026-07-05T12:05:04.524080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4186b3c63d14d23ce948a137ea02c281bbd4f7f60a2d971c228c30a1724ac6e8

Aliases

arxiv: 2509.04414 · arxiv_version: 2509.04414v1 · doi: 10.48550/arxiv.2509.04414 · pith_short_12: IGDLHRR5CTJD · pith_short_16: IGDLHRR5CTJDZ2KI · pith_short_8: IGDLHRR5

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/IGDLHRR5CTJDZ2KIUE36UAWCQG \
  | 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: 4186b3c63d14d23ce948a137ea02c281bbd4f7f60a2d971c228c30a1724ac6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f571da0fcdaa2aacc9e0dadd8b6c6d6329eaa67231dcc5cb05d9da15732fa08",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-09-04T17:35:30Z",
    "title_canon_sha256": "586bd4c151e1d5578723e7b00e772d7d9574ab9d67ec95ff91acb2008c72d921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04414",
    "kind": "arxiv",
    "version": 1
  }
}