Pith Number

pith:52CSVSDX

pith:2025:52CSVSDXD7TXDHPJKNWZXHNRUH

not attested not anchored not stored refs pending

The versal deformation of elliptic m-fold point curve singularities

Jan Stevens

arxiv:2504.16569 v1 · 2025-04-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52CSVSDXD7TXDHPJKNWZXHNRUH}

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	2026-06-03T00:05:03.114995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee852ac8771fe7719de9536d9b9db1a1d0b85f4ea7db6176928373f86e41edbb

Aliases

arxiv: 2504.16569 · arxiv_version: 2504.16569v1 · doi: 10.48550/arxiv.2504.16569 · pith_short_12: 52CSVSDXD7TX · pith_short_16: 52CSVSDXD7TXDHPJ · pith_short_8: 52CSVSDX

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/52CSVSDXD7TXDHPJKNWZXHNRUH \
  | 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: ee852ac8771fe7719de9536d9b9db1a1d0b85f4ea7db6176928373f86e41edbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1274e2344ee2eaf0cf4a5d730182a34901342d6d535788866507230cbb054c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-23T09:47:01Z",
    "title_canon_sha256": "fe94df491ace5f3ad17666854e253ba3b757f2546b791591379e5418fe77add0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16569",
    "kind": "arxiv",
    "version": 1
  }
}