Pith Number

pith:G6GG7WTF

pith:2012:G6GG7WTF4RHU63BHKTPMH7Q2SR

not attested not anchored not stored refs pending

Singularities and nonhyperbolic manifolds do not coincide

Nandor Simanyi

arxiv:1205.0061 v5 · 2012-05-01 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6GG7WTF4RHU63BHKTPMH7Q2SR}

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	2026-05-18T03:25:59.502140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378c6fda65e44f4f6c2754dec3fe1a9450bcc315edef522327447707daeb5e23

Aliases

arxiv: 1205.0061 · arxiv_version: 1205.0061v5 · doi: 10.48550/arxiv.1205.0061 · pith_short_12: G6GG7WTF4RHU · pith_short_16: G6GG7WTF4RHU63BH · pith_short_8: G6GG7WTF

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/G6GG7WTF4RHU63BHKTPMH7Q2SR \
  | 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: 378c6fda65e44f4f6c2754dec3fe1a9450bcc315edef522327447707daeb5e23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86fcc856a5e5e968c64b47c2d856ff02f401a1dd0fc8d62dc43b35fbdee5fd44",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-01T00:37:59Z",
    "title_canon_sha256": "440a5e83096417cbde25490e36d70369fc1cf865fd4d043515da435028fbaf6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0061",
    "kind": "arxiv",
    "version": 5
  }
}