Pith Number

pith:PBEO2IMR

pith:2016:PBEO2IMR4CX7USARTRJEWKTNNJ

not attested not anchored not stored refs pending

Stability of sin-cones and cosh-cylinders

Klaus Kroencke

arxiv:1609.05074 v2 · 2016-09-16 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBEO2IMR4CX7USARTRJEWKTNNJ}

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	2026-05-18T00:14:47.834616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7848ed2191e0affa48119c524b2a6d6a4caa1cd1f4cd2c44d345160502210e73

Aliases

arxiv: 1609.05074 · arxiv_version: 1609.05074v2 · doi: 10.48550/arxiv.1609.05074 · pith_short_12: PBEO2IMR4CX7 · pith_short_16: PBEO2IMR4CX7USAR · pith_short_8: PBEO2IMR

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/PBEO2IMR4CX7USARTRJEWKTNNJ \
  | 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: 7848ed2191e0affa48119c524b2a6d6a4caa1cd1f4cd2c44d345160502210e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9608ea5721f38f5be8b69d5849612ce8b02c70167a6bcc0f0810d3ffc1de3710",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-16T14:22:15Z",
    "title_canon_sha256": "9d43c9451ef0446943d9333552ba3230d949acff8bd0c5a429a23f9f716b8d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05074",
    "kind": "arxiv",
    "version": 2
  }
}