Pith Number

pith:M3U4ZPEY

pith:2015:M3U4ZPEYYBNGBOEVAVKRT3GKHU

not attested not anchored not stored refs pending

Bifurcation of plane-to-plane map-germs with corank two of parabolic type

Toru Ohmoto, Toshiki Yoshida, Yutaro Kabata

arxiv:1505.01317 v2 · 2015-05-06 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3U4ZPEYYBNGBOEVAVKRT3GKHU}

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	2026-05-18T01:37:47.149976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e9ccbc98c05a60b895055519ecca3d009b72cc87082cc5f16c21eb5c410d38

Aliases

arxiv: 1505.01317 · arxiv_version: 1505.01317v2 · doi: 10.48550/arxiv.1505.01317 · pith_short_12: M3U4ZPEYYBNG · pith_short_16: M3U4ZPEYYBNGBOEV · pith_short_8: M3U4ZPEY

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/M3U4ZPEYYBNGBOEVAVKRT3GKHU \
  | 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: 66e9ccbc98c05a60b895055519ecca3d009b72cc87082cc5f16c21eb5c410d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15319c33b2c3e01545049efbb7a7dfc33fedc1273aff28ea61902ec4e8be459b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-06T10:54:44Z",
    "title_canon_sha256": "ee9d85e64fd1772c7c5ed8597c5484e355f14d3c92490230f63d725611f8de77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01317",
    "kind": "arxiv",
    "version": 2
  }
}