Pith Number

pith:6SMOWPLA

pith:2015:6SMOWPLALDZPAI4GY76I3DFUR4

not attested not anchored not stored refs pending

Isotopy of Morin singularities

Kentaro Saji

arxiv:1510.03757 v1 · 2015-10-13 · 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{6SMOWPLALDZPAI4GY76I3DFUR4}

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	2026-05-18T01:30:16.248997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f498eb3d6058f2f02386c7fc8d8cb48f3366d6f9ac5db2f25ef6eecfabdc7e66

Aliases

arxiv: 1510.03757 · arxiv_version: 1510.03757v1 · doi: 10.48550/arxiv.1510.03757 · pith_short_12: 6SMOWPLALDZP · pith_short_16: 6SMOWPLALDZPAI4G · pith_short_8: 6SMOWPLA

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/6SMOWPLALDZPAI4GY76I3DFUR4 \
  | 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: f498eb3d6058f2f02386c7fc8d8cb48f3366d6f9ac5db2f25ef6eecfabdc7e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "460da597bcd9c1d34926e416add02b54916a407df6154abd12b889a46c142667",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-13T16:08:01Z",
    "title_canon_sha256": "9eb14f3e3d1ef309ea6e5cde5a5c28c6afd5291a1e02e95566dd3a04f55fa565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03757",
    "kind": "arxiv",
    "version": 1
  }
}