Pith Number

pith:RWBS7YDR

pith:2009:RWBS7YDR5GCNBIM2AJW2KHMGBZ

not attested not anchored not stored refs pending

Global classification of isolated singularities in dimensions $(4,3)$ and $(8,5)$

Louis Funar

arxiv:0911.3517 v3 · 2009-11-18 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWBS7YDR5GCNBIM2AJW2KHMGBZ}

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	2026-05-18T01:17:35.541258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d832fe071e984d0a19a026da51d860e5a318ed6bd3e5f8e73b145275274d1f9

Aliases

arxiv: 0911.3517 · arxiv_version: 0911.3517v3 · doi: 10.48550/arxiv.0911.3517 · pith_short_12: RWBS7YDR5GCN · pith_short_16: RWBS7YDR5GCNBIM2 · pith_short_8: RWBS7YDR

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/RWBS7YDR5GCNBIM2AJW2KHMGBZ \
  | 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: 8d832fe071e984d0a19a026da51d860e5a318ed6bd3e5f8e73b145275274d1f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d582ba3733d6f4c7a3f7f327875d81f9ff8ea1c2d949a6ddaa5b143d030c76",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-18T12:28:43Z",
    "title_canon_sha256": "11ec53fc43c26b8f729ba3e9c384a9fa45eb21c1f4b0d72fbcf00f1e51631f88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3517",
    "kind": "arxiv",
    "version": 3
  }
}