Pith Number

pith:H4NVTXE2

pith:2018:H4NVTXE2YVLZYQ3N33R7TQVFMM

not attested not anchored not stored refs pending

The flat geometry of the $I_{1}$ singularity: $(x,y)\mapsto(x,xy,y^{2},y^{3})$

Pedro Benedini Riul, Ra\'ul Oset Sinha

arxiv:1804.11220 v1 · 2018-04-27 · 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{H4NVTXE2YVLZYQ3N33R7TQVFMM}

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	2026-05-18T00:17:14.238565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f1b59dc9ac5579c436ddee3f9c2a56326f8b00e48642f48a5205aa7731a36ec

Aliases

arxiv: 1804.11220 · arxiv_version: 1804.11220v1 · doi: 10.48550/arxiv.1804.11220 · pith_short_12: H4NVTXE2YVLZ · pith_short_16: H4NVTXE2YVLZYQ3N · pith_short_8: H4NVTXE2

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/H4NVTXE2YVLZYQ3N33R7TQVFMM \
  | 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: 3f1b59dc9ac5579c436ddee3f9c2a56326f8b00e48642f48a5205aa7731a36ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8a7709e0feb2c86e4e7dd198c5480799f0ec0cfca76b6282e82112289760c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-27T16:44:13Z",
    "title_canon_sha256": "db48df20fcb0cdc9e6028abf390cbca26572cc25e83ea2a172a657df3da56150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.11220",
    "kind": "arxiv",
    "version": 1
  }
}